102011013031013 has 16 divisors (see below), whose sum is σ = 108192594576000. Its totient is φ = 95974996582080.

The previous prime is 102011013030989. The next prime is 102011013031097. The reversal of 102011013031013 is 310130310110201.

It is a cyclic number.

It is not a de Polignac number, because 102011013031013 - 2⁸ = 102011013030757 is a prime.

It is a super-2 number, since 2×102011013031013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102011013030982 and 102011013031000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011013031513) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 130410338 + ... + 131190236.

It is an arithmetic number, because the mean of its divisors is an integer number (6762037161000).

Almost surely, 2^{102011013031013} is an apocalyptic number.

It is an amenable number.

102011013031013 is a deficient number, since it is larger than the sum of its proper divisors (6181581544987).

102011013031013 is an equidigital number, since it uses as much as digits as its factorization.

102011013031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873212.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 102011013031013 its reverse (310130310110201), we get a palindrome (412141323141214).

The spelling of 102011013031013 in words is "one hundred two trillion, eleven billion, thirteen million, thirty-one thousand, thirteen".