10102018192013 has 48 divisors (see below), whose sum is σ = 11552057395200. Its totient is φ = 8816717078400.

The previous prime is 10102018192009. The next prime is 10102018192039. The reversal of 10102018192013 is 31029181020101.

It is a happy number.

It is not a de Polignac number, because 10102018192013 - 2² = 10102018192009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102018102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444835103 + ... + 444857811.

It is an arithmetic number, because the mean of its divisors is an integer number (240667862400).

Almost surely, 2^{10102018192013} is an apocalyptic number.

It is an amenable number.

10102018192013 is a deficient number, since it is larger than the sum of its proper divisors (1450039203187).

10102018192013 is a wasteful number, since it uses less digits than its factorization.

10102018192013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23474 (or 23463 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 10102018192013 in words is "ten trillion, one hundred two billion, eighteen million, one hundred ninety-two thousand, thirteen".