11000031 has 24 divisors (see below), whose sum is σ = 17702784. Its totient is φ = 5950800.

The previous prime is 11000027. The next prime is 11000053. The reversal of 11000031 is 13000011.

It is not a de Polignac number, because 11000031 - 2² = 11000027 is a prime.

It is a super-2 number, since 2×11000031² = 242001364001922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10999983 and 11000019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6856 + ... + 8306.

It is an arithmetic number, because the mean of its divisors is an integer number (737616).

Almost surely, 2^11000031 is an apocalyptic number.

11000031 is a deficient number, since it is larger than the sum of its proper divisors (6702753).

11000031 is a wasteful number, since it uses less digits than its factorization.

11000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 11000031 is about 3316.6294637779. The cubic root of 11000031 is about 222.3982179761.

Adding to 11000031 its reverse (13000011), we get a palindrome (24000042).

The spelling of 11000031 in words is "eleven million, thirty-one", and thus it is an aban number and an uban number.