13137614130 has 128 divisors (see below), whose sum is σ = 32780816640. Its totient is φ = 3367526400.

The previous prime is 13137614107. The next prime is 13137614153. The reversal of 13137614130 is 3141673131.

It is an interprime number because it is at equal distance from previous prime (13137614107) and next prime (13137614153).

It is a super-3 number, since 3×13137614130³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32761930 + ... + 32762330.

It is an arithmetic number, because the mean of its divisors is an integer number (256100130).

Almost surely, 2^13137614130 is an apocalyptic number.

13137614130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13137614130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390408320).

13137614130 is an abundant number, since it is smaller than the sum of its proper divisors (19643202510).

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

13137614130 is a wasteful number, since it uses less digits than its factorization.

13137614130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796.

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 13137614130 in words is "thirteen billion, one hundred thirty-seven million, six hundred fourteen thousand, one hundred thirty".