10031131102213 has 16 divisors (see below), whose sum is σ = 10901183569920. Its totient is φ = 9175182153984.

The previous prime is 10031131102211. The next prime is 10031131102229. The reversal of 10031131102213 is 31220113113001.

It is a cyclic number.

It is not a de Polignac number, because 10031131102213 - 2¹ = 10031131102211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031131102211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4790908 + ... + 6558586.

It is an arithmetic number, because the mean of its divisors is an integer number (681323973120).

Almost surely, 2^{10031131102213} is an apocalyptic number.

10031131102213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10031131102213 is a deficient number, since it is larger than the sum of its proper divisors (870052467707).

10031131102213 is a wasteful number, since it uses less digits than its factorization.

10031131102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771668.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10031131102213 its reverse (31220113113001), we get a palindrome (41251244215214).

The spelling of 10031131102213 in words is "ten trillion, thirty-one billion, one hundred thirty-one million, one hundred two thousand, two hundred thirteen".