10102332302013 has 16 divisors (see below), whose sum is σ = 15394119180800. Its totient is φ = 5772727938096.

The previous prime is 10102332301969. The next prime is 10102332302057. The reversal of 10102332302013 is 31020323320101.

It is an interprime number because it is at equal distance from previous prime (10102332301969) and next prime (10102332302057).

It is not a de Polignac number, because 10102332302013 - 2¹² = 10102332297917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102332302093) 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, 2593206 + ... + 5189352.

It is an arithmetic number, because the mean of its divisors is an integer number (962132448800).

Almost surely, 2^{10102332302013} is an apocalyptic number.

It is an amenable number.

10102332302013 is a deficient number, since it is larger than the sum of its proper divisors (5291786878787).

10102332302013 is a wasteful number, since it uses less digits than its factorization.

10102332302013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781456.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10102332302013 its reverse (31020323320101), we get a palindrome (41122655622114).

The spelling of 10102332302013 in words is "ten trillion, one hundred two billion, three hundred thirty-two million, three hundred two thousand, thirteen".