20131213102 has 96 divisors (see below), whose sum is σ = 43254945216. Its totient is φ = 6813987840.

The previous prime is 20131213033. The next prime is 20131213111.

20131213102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347488 + ... + 401260.

It is an arithmetic number, because the mean of its divisors is an integer number (450572346).

Almost surely, 2^20131213102 is an apocalyptic number.

20131213102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20131213102 is an abundant number, since it is smaller than the sum of its proper divisors (23123732114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20131213102 is a wasteful number, since it uses less digits than its factorization.

20131213102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53834 (or 53823 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 20131213102 in words is "twenty billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred two".