101131313113 has 32 divisors (see below), whose sum is σ = 108526666752. Its totient is φ = 94075084800.

The previous prime is 101131313077. The next prime is 101131313117. The reversal of 101131313113 is 311313131101.

It is not a de Polignac number, because 101131313113 - 2³³ = 92541378521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101131313117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26245495 + ... + 26249347.

It is an arithmetic number, because the mean of its divisors is an integer number (3391458336).

Almost surely, 2^101131313113 is an apocalyptic number.

It is an amenable number.

101131313113 is a deficient number, since it is larger than the sum of its proper divisors (7395353639).

101131313113 is a wasteful number, since it uses less digits than its factorization.

101131313113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 101131313113 its reverse (311313131101), we get a palindrome (412444444214).

The spelling of 101131313113 in words is "one hundred one billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred thirteen".