1012133000031 has 16 divisors (see below), whose sum is σ = 1350194692704. Its totient is φ = 674413415424.

The previous prime is 1012133000023. The next prime is 1012133000059. The reversal of 1012133000031 is 1300003312101.

It is not a de Polignac number, because 1012133000031 - 2³ = 1012133000023 is a prime.

It is a super-2 number, since 2×1012133000031² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012133000071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91070931 + ... + 91082043.

It is an arithmetic number, because the mean of its divisors is an integer number (84387168294).

Almost surely, 2^{1012133000031} is an apocalyptic number.

1012133000031 is a deficient number, since it is larger than the sum of its proper divisors (338061692673).

1012133000031 is a wasteful number, since it uses less digits than its factorization.

1012133000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23770.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1012133000031 its reverse (1300003312101), we get a palindrome (2312136312132).

The spelling of 1012133000031 in words is "one trillion, twelve billion, one hundred thirty-three million, thirty-one", and thus it is an aban number.