101330032313313 has 12 divisors (see below), whose sum is σ = 148129043222160. Its totient is φ = 66739459033176.

The previous prime is 101330032313311. The next prime is 101330032313357. The reversal of 101330032313313 is 313313230033101.

101330032313313 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 0 + 0 + 32 + 313 + 313 = 666.

It is not a de Polignac number, because 101330032313313 - 2¹ = 101330032313311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101330032313311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67824652743 + ... + 67824654236.

It is an arithmetic number, because the mean of its divisors is an integer number (12344086935180).

Almost surely, 2^{101330032313313} is an apocalyptic number.

It is an amenable number.

101330032313313 is a deficient number, since it is larger than the sum of its proper divisors (46799010908847).

101330032313313 is a wasteful number, since it uses less digits than its factorization.

101330032313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135649307068 (or 135649307065 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 101330032313313 its reverse (313313230033101), we get a palindrome (414643262346414).

The spelling of 101330032313313 in words is "one hundred one trillion, three hundred thirty billion, thirty-two million, three hundred thirteen thousand, three hundred thirteen".