10131312213 has 72 divisors (see below), whose sum is σ = 17055187968. Its totient is φ = 5780808000.

The previous prime is 10131312209. The next prime is 10131312223. The reversal of 10131312213 is 31221313101.

10131312213 is a `hidden beast` number, since 10 + 131 + 312 + 213 = 666.

It is not a de Polignac number, because 10131312213 - 2² = 10131312209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131312203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1245028 + ... + 1253138.

Almost surely, 2^10131312213 is an apocalyptic number.

It is an amenable number.

10131312213 is a deficient number, since it is larger than the sum of its proper divisors (6923875755).

10131312213 is a wasteful number, since it uses less digits than its factorization.

10131312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8207 (or 8193 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10131312213 its reverse (31221313101), we get a palindrome (41352625314).

It can be divided in two parts, 101313 and 12213, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 10131312213 in words is "ten billion, one hundred thirty-one million, three hundred twelve thousand, two hundred thirteen".