31100311232133 has 64 divisors (see below), whose sum is σ = 49177749583872. Its totient is φ = 17234107994880.

The previous prime is 31100311232057. The next prime is 31100311232153. The reversal of 31100311232133 is 33123211300113.

It is not a de Polignac number, because 31100311232133 - 2⁸ = 31100311231877 is a prime.

It is a super-2 number, since 2×31100311232133² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31100311232153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434344291 + ... + 434415887.

It is an arithmetic number, because the mean of its divisors is an integer number (768402337248).

Almost surely, 2^{31100311232133} is an apocalyptic number.

31100311232133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31100311232133 is a deficient number, since it is larger than the sum of its proper divisors (18077438351739).

31100311232133 is a wasteful number, since it uses less digits than its factorization.

31100311232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81194.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 31100311232133 its reverse (33123211300113), we get a palindrome (64223522532246).

The spelling of 31100311232133 in words is "thirty-one trillion, one hundred billion, three hundred eleven million, two hundred thirty-two thousand, one hundred thirty-three".