10011312313131 has 64 divisors (see below), whose sum is σ = 14446721230848. Its totient is φ = 6150163396608.

The previous prime is 10011312313103. The next prime is 10011312313157. The reversal of 10011312313131 is 13131321311001.

It is not a de Polignac number, because 10011312313131 - 2²⁵ = 10011278758699 is a prime.

It is a super-2 number, since 2×10011312313131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011312313098 and 10011312313107.

It is not an unprimeable number, because it can be changed into a prime (10011312313181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287606130 + ... + 287640936.

It is an arithmetic number, because the mean of its divisors is an integer number (225730019232).

Almost surely, 2^{10011312313131} is an apocalyptic number.

10011312313131 is a deficient number, since it is larger than the sum of its proper divisors (4435408917717).

10011312313131 is a wasteful number, since it uses less digits than its factorization.

10011312313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35980.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 10011312313131 its reverse (13131321311001), we get a palindrome (23142633624132).

The spelling of 10011312313131 in words is "ten trillion, eleven billion, three hundred twelve million, three hundred thirteen thousand, one hundred thirty-one".