101013202113013 has 8 divisors (see below), whose sum is σ = 102731875752960. Its totient is φ = 99294747988800.

The previous prime is 101013202112993. The next prime is 101013202113017. The reversal of 101013202113013 is 310311202310101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101013202113013 - 2²⁵ = 101013168558581 is a prime.

It is a super-2 number, since 2×101013202113013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013202113017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53950645 + ... + 55791562.

It is an arithmetic number, because the mean of its divisors is an integer number (12841484469120).

Almost surely, 2^{101013202113013} is an apocalyptic number.

It is an amenable number.

101013202113013 is a deficient number, since it is larger than the sum of its proper divisors (1718673639947).

101013202113013 is a wasteful number, since it uses less digits than its factorization.

101013202113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109757867.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101013202113013 its reverse (310311202310101), we get a palindrome (411324404423114).

The spelling of 101013202113013 in words is "one hundred one trillion, thirteen billion, two hundred two million, one hundred thirteen thousand, thirteen".