101131234113 has 48 divisors (see below), whose sum is σ = 169003376640. Its totient is φ = 53318409984.

The previous prime is 101131234103. The next prime is 101131234151. The reversal of 101131234113 is 311432131101.

It is not a de Polignac number, because 101131234113 - 2⁸ = 101131233857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101131234113.

It is not an unprimeable number, because it can be changed into a prime (101131234103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4378048 + ... + 4401086.

It is an arithmetic number, because the mean of its divisors is an integer number (3520903680).

Almost surely, 2^101131234113 is an apocalyptic number.

101131234113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101131234113 is a deficient number, since it is larger than the sum of its proper divisors (67872142527).

101131234113 is a wasteful number, since it uses less digits than its factorization.

101131234113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25366 (or 25359 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101131234113 its reverse (311432131101), we get a palindrome (412563365214).

The spelling of 101131234113 in words is "one hundred one billion, one hundred thirty-one million, two hundred thirty-four thousand, one hundred thirteen".