101331010012013 has 16 divisors (see below), whose sum is σ = 102332243125440. Its totient is φ = 100330790976000.

The previous prime is 101331010012003. The next prime is 101331010012049. The reversal of 101331010012013 is 310210010133101.

It is a cyclic number.

It is not a de Polignac number, because 101331010012013 - 2⁴⁶ = 30962265834349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101331010011982 and 101331010012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331010012003) 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, 3018572093 + ... + 3018605661.

It is an arithmetic number, because the mean of its divisors is an integer number (6395765195340).

Almost surely, 2^{101331010012013} is an apocalyptic number.

It is an amenable number.

101331010012013 is a deficient number, since it is larger than the sum of its proper divisors (1001233113427).

101331010012013 is a wasteful number, since it uses less digits than its factorization.

101331010012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47788.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101331010012013 its reverse (310210010133101), we get a palindrome (411541020145114).

The spelling of 101331010012013 in words is "one hundred one trillion, three hundred thirty-one billion, ten million, twelve thousand, thirteen".