101303113131 has 48 divisors (see below), whose sum is σ = 166476525600. Its totient is φ = 60832347840.

The previous prime is 101303113111. The next prime is 101303113133. The reversal of 101303113131 is 131311303101.

101303113131 is a `hidden beast` number, since 10 + 1 + 30 + 311 + 313 + 1 = 666.

It is not a de Polignac number, because 101303113131 - 2²³ = 101294724523 is a prime.

It is a super-2 number, since 2×101303113131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101303113133) 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, 213865 + ... + 498341.

It is an arithmetic number, because the mean of its divisors is an integer number (3468260950).

Almost surely, 2^101303113131 is an apocalyptic number.

101303113131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101303113131 is a deficient number, since it is larger than the sum of its proper divisors (65173412469).

101303113131 is a wasteful number, since it uses less digits than its factorization.

101303113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284617 (or 284600 counting only the distinct ones).

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

Adding to 101303113131 its reverse (131311303101), we get a palindrome (232614416232).

The spelling of 101303113131 in words is "one hundred one billion, three hundred three million, one hundred thirteen thousand, one hundred thirty-one".