101311133121 has 72 divisors (see below), whose sum is σ = 169810215744. Its totient is φ = 57679413120.

The previous prime is 101311133111. The next prime is 101311133129. The reversal of 101311133121 is 121331113101.

101311133121 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 1 + 331 + 21 = 666.

It is not a de Polignac number, because 101311133121 - 2¹⁵ = 101311100353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101311133094 and 101311133103.

It is not an unprimeable number, because it can be changed into a prime (101311133129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3064140 + ... + 3097026.

Almost surely, 2^101311133121 is an apocalyptic number.

101311133121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101311133121 is a deficient number, since it is larger than the sum of its proper divisors (68499082623).

101311133121 is a wasteful number, since it uses less digits than its factorization.

101311133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32999 (or 32967 counting only the distinct ones).

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

Adding to 101311133121 its reverse (121331113101), we get a palindrome (222642246222).

It can be divided in two parts, 101311 and 133121, that added together give a palindrome (234432).

The spelling of 101311133121 in words is "one hundred one billion, three hundred eleven million, one hundred thirty-three thousand, one hundred twenty-one".