10310013213131 has 8 divisors (see below), whose sum is σ = 10384279133760. Its totient is φ = 10235748623688.

The previous prime is 10310013213053. The next prime is 10310013213139. The reversal of 10310013213131 is 13131231001301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10310013213131 is a prime.

It is a super-2 number, since 2×10310013213131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10310013213139) 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 7 ways as a sum of consecutive naturals, for example, 19418660 + ... + 19942526.

It is an arithmetic number, because the mean of its divisors is an integer number (1298034891720).

Almost surely, 2^{10310013213131} is an apocalyptic number.

10310013213131 is a deficient number, since it is larger than the sum of its proper divisors (74265920629).

10310013213131 is a wasteful number, since it uses less digits than its factorization.

10310013213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665593.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10310013213131 its reverse (13131231001301), we get a palindrome (23441244214432).

The spelling of 10310013213131 in words is "ten trillion, three hundred ten billion, thirteen million, two hundred thirteen thousand, one hundred thirty-one".