331351020 has 384 divisors, whose sum is σ = 1386362880. Its totient is φ = 63452160.

The previous prime is 331350989. The next prime is 331351037. The reversal of 331351020 is 20153133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331350984 and 331351002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540234 + ... + 540846.

It is an arithmetic number, because the mean of its divisors is an integer number (3610320).

Almost surely, 2^331351020 is an apocalyptic number.

331351020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331351020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693181440).

331351020 is an abundant number, since it is smaller than the sum of its proper divisors (1055011860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331351020 is a wasteful number, since it uses less digits than its factorization.

331351020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 331351020 is about 18203.0497444796. The cubic root of 331351020 is about 691.9840814051.

The spelling of 331351020 in words is "three hundred thirty-one million, three hundred fifty-one thousand, twenty".