13130234641056 has 384 divisors, whose sum is σ = 37791789235200. Its totient is φ = 3967483576320.

The previous prime is 13130234641003. The next prime is 13130234641057. The reversal of 13130234641056 is 65014643203131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13130234641057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15321160180 + ... + 15321161036.

It is an arithmetic number, because the mean of its divisors is an integer number (98416117800).

Almost surely, 2^{13130234641056} is an apocalyptic number.

13130234641056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130234641056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18895894617600).

13130234641056 is an abundant number, since it is smaller than the sum of its proper divisors (24661554594144).

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

13130234641056 is a wasteful number, since it uses less digits than its factorization.

13130234641056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

Adding to 13130234641056 its reverse (65014643203131), we get a palindrome (78144877844187).

The spelling of 13130234641056 in words is "thirteen trillion, one hundred thirty billion, two hundred thirty-four million, six hundred forty-one thousand, fifty-six".