101131211313 has 40 divisors (see below), whose sum is σ = 164839752000. Its totient is φ = 61279247520.

The previous prime is 101131211287. The next prime is 101131211329. The reversal of 101131211313 is 313112131101.

101131211313 is a `hidden beast` number, since 10 + 1 + 131 + 211 + 313 = 666.

It is not a de Polignac number, because 101131211313 - 2⁵ = 101131211281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101131211333) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6413563 + ... + 6429311.

It is an arithmetic number, because the mean of its divisors is an integer number (4120993800).

Almost surely, 2^101131211313 is an apocalyptic number.

It is an amenable number.

101131211313 is a deficient number, since it is larger than the sum of its proper divisors (63708540687).

101131211313 is a wasteful number, since it uses less digits than its factorization.

101131211313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22979 (or 22970 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101131211313 its reverse (313112131101), we get a palindrome (414243342414).

The spelling of 101131211313 in words is "one hundred one billion, one hundred thirty-one million, two hundred eleven thousand, three hundred thirteen".