31001142133 has 48 divisors (see below), whose sum is σ = 35453436480. Its totient is φ = 26937204480.

The previous prime is 31001142103. The next prime is 31001142157. The reversal of 31001142133 is 33124110013.

It is not a de Polignac number, because 31001142133 - 2⁹ = 31001141621 is a prime.

It is a super-2 number, since 2×31001142133² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31001142133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001142103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100980766 + ... + 100981072.

It is an arithmetic number, because the mean of its divisors is an integer number (738613260).

Almost surely, 2^31001142133 is an apocalyptic number.

It is an amenable number.

31001142133 is a deficient number, since it is larger than the sum of its proper divisors (4452294347).

31001142133 is a wasteful number, since it uses less digits than its factorization.

31001142133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31001142133 its reverse (33124110013), we get a palindrome (64125252146).

The spelling of 31001142133 in words is "thirty-one billion, one million, one hundred forty-two thousand, one hundred thirty-three".