100131993 has 36 divisors (see below), whose sum is σ = 160363632. Its totient is φ = 60147360.

The previous prime is 100131961. The next prime is 100132013. The reversal of 100131993 is 399131001.

It is not a de Polignac number, because 100131993 - 2⁵ = 100131961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100131943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64638 + ... + 66168.

Almost surely, 2^100131993 is an apocalyptic number.

100131993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100131993 is a deficient number, since it is larger than the sum of its proper divisors (60231639).

100131993 is a wasteful number, since it uses less digits than its factorization.

100131993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 100131993 is about 10006.5974736671. The cubic root of 100131993 is about 464.3630126538.

Adding to 100131993 its reverse (399131001), we get a palindrome (499262994).

It can be divided in two parts, 100131 and 993, that added together give a square (101124 = 318²).

The spelling of 100131993 in words is "one hundred million, one hundred thirty-one thousand, nine hundred ninety-three".