20130011003102 has 64 divisors (see below), whose sum is σ = 40546265776128. Its totient is φ = 7238724192000.

The previous prime is 20130011003029. The next prime is 20130011003131.

20130011003102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16800227 + ... + 17958497.

It is an arithmetic number, because the mean of its divisors is an integer number (633535402752).

Almost surely, 2^{20130011003102} is an apocalyptic number.

20130011003102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20130011003102 is an abundant number, since it is smaller than the sum of its proper divisors (20416254773026).

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

20130011003102 is a wasteful number, since it uses less digits than its factorization.

20130011003102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166985.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 2013001 and 1003102, that added together give a palindrome (3016103).

The spelling of 20130011003102 in words is "twenty trillion, one hundred thirty billion, eleven million, three thousand, one hundred two".