102013320012131 has 8 divisors (see below), whose sum is σ = 111309049377984. Its totient is φ = 92721222510120.

The previous prime is 102013320012103. The next prime is 102013320012143. The reversal of 102013320012131 is 131210023310201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102013320012131 - 2²² = 102013315817827 is a prime.

It is a super-3 number, since 3×102013320012131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102013320012731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 907907225 + ... + 908019578.

It is an arithmetic number, because the mean of its divisors is an integer number (13913631172248).

Almost surely, 2^{102013320012131} is an apocalyptic number.

102013320012131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102013320012131 is a deficient number, since it is larger than the sum of its proper divisors (9295729365853).

102013320012131 is a wasteful number, since it uses less digits than its factorization.

102013320012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815931921.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102013320012131 its reverse (131210023310201), we get a palindrome (233223343322332).

The spelling of 102013320012131 in words is "one hundred two trillion, thirteen billion, three hundred twenty million, twelve thousand, one hundred thirty-one".