101313051356121 has 16 divisors (see below), whose sum is σ = 149383129275840. Its totient is φ = 60560728081920.

The previous prime is 101313051356113. The next prime is 101313051356161. The reversal of 101313051356121 is 121653150313101.

It is not a de Polignac number, because 101313051356121 - 2³ = 101313051356113 is a prime.

It is a super-2 number, since 2×101313051356121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (101313051356161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21028028176 + ... + 21028032993.

It is an arithmetic number, because the mean of its divisors is an integer number (9336445579740).

Almost surely, 2^{101313051356121} is an apocalyptic number.

101313051356121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101313051356121 is a deficient number, since it is larger than the sum of its proper divisors (48070077919719).

101313051356121 is a wasteful number, since it uses less digits than its factorization.

101313051356121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42056061256.

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 101313051356121 in words is "one hundred one trillion, three hundred thirteen billion, fifty-one million, three hundred fifty-six thousand, one hundred twenty-one".