101131033113 has 128 divisors (see below), whose sum is σ = 172283443200. Its totient is φ = 58815953280.

The previous prime is 101131033111. The next prime is 101131033147. The reversal of 101131033113 is 311330131101.

101131033113 is a `hidden beast` number, since 1 + 0 + 11 + 310 + 331 + 13 = 666.

It is not a de Polignac number, because 101131033113 - 2¹ = 101131033111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101131033111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61031781 + ... + 61033437.

It is an arithmetic number, because the mean of its divisors is an integer number (1345964400).

Almost surely, 2^101131033113 is an apocalyptic number.

It is an amenable number.

101131033113 is a deficient number, since it is larger than the sum of its proper divisors (71152410087).

101131033113 is an equidigital number, since it uses as much as digits as its factorization.

101131033113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101131033113 its reverse (311330131101), we get a palindrome (412461164214).

The spelling of 101131033113 in words is "one hundred one billion, one hundred thirty-one million, thirty-three thousand, one hundred thirteen".