10312011311031 has 16 divisors (see below), whose sum is σ = 15277156857600. Its totient is φ = 6874627828824.

The previous prime is 10312011311027. The next prime is 10312011311071. The reversal of 10312011311031 is 13011311021301.

10312011311031 is a `hidden beast` number, since 1 + 0 + 312 + 0 + 11 + 311 + 0 + 31 = 666.

It is not a de Polignac number, because 10312011311031 - 2² = 10312011311027 is a prime.

It is a super-2 number, since 2×10312011311031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10312011310995 and 10312011311013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312011311071) 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, 3054150 + ... + 5472828.

It is an arithmetic number, because the mean of its divisors is an integer number (954822303600).

Almost surely, 2^{10312011311031} is an apocalyptic number.

10312011311031 is a deficient number, since it is larger than the sum of its proper divisors (4965145546569).

10312011311031 is a wasteful number, since it uses less digits than its factorization.

10312011311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576595 (or 2576589 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10312011311031 its reverse (13011311021301), we get a palindrome (23323322332332).

The spelling of 10312011311031 in words is "ten trillion, three hundred twelve billion, eleven million, three hundred eleven thousand, thirty-one".