10312211313131 has 64 divisors (see below), whose sum is σ = 13556215572480. Its totient is φ = 7616261882880.

The previous prime is 10312211313119. The next prime is 10312211313137. The reversal of 10312211313131 is 13131311221301.

It is not a de Polignac number, because 10312211313131 - 2²² = 10312207118827 is a prime.

It is a super-2 number, since 2×10312211313131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10312211313097 and 10312211313106.

It is not an unprimeable number, because it can be changed into a prime (10312211313137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212717111 + ... + 212765583.

It is an arithmetic number, because the mean of its divisors is an integer number (211815868320).

Almost surely, 2^{10312211313131} is an apocalyptic number.

10312211313131 is a deficient number, since it is larger than the sum of its proper divisors (3244004259349).

10312211313131 is a wasteful number, since it uses less digits than its factorization.

10312211313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50316.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 10312211313131 its reverse (13131311221301), we get a palindrome (23443522534432).

The spelling of 10312211313131 in words is "ten trillion, three hundred twelve billion, two hundred eleven million, three hundred thirteen thousand, one hundred thirty-one".