13102011020131 has 16 divisors (see below), whose sum is σ = 14412422962656. Its totient is φ = 11909931264000.

The previous prime is 13102011020129. The next prime is 13102011020159.

It is a happy number.

13102011020131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13102011020131 - 2¹ = 13102011020129 is a prime.

It is a super-2 number, since 2×13102011020131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13102011020171) 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, 15890691 + ... + 16694851.

It is an arithmetic number, because the mean of its divisors is an integer number (900776435166).

Almost surely, 2^{13102011020131} is an apocalyptic number.

13102011020131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13102011020131 is a deficient number, since it is larger than the sum of its proper divisors (1310411942525).

13102011020131 is an equidigital number, since it uses as much as digits as its factorization.

13102011020131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816435 (or 816413 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 1310201 and 1020131, that added together give a palindrome (2330332).

The spelling of 13102011020131 in words is "thirteen trillion, one hundred two billion, eleven million, twenty thousand, one hundred thirty-one".