13030737374520 has 384 divisors, whose sum is σ = 45402227619840. Its totient is φ = 3357794373120.

The previous prime is 13030737374503. The next prime is 13030737374527. The reversal of 13030737374520 is 2547373703031.

13030737374520 is a `hidden beast` number, since 1 + 30 + 30 + 7 + 37 + 37 + 4 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030737374527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205769902 + ... + 205833218.

It is an arithmetic number, because the mean of its divisors is an integer number (118234967760).

Almost surely, 2^{13030737374520} is an apocalyptic number.

13030737374520 is a gapful number since it is divisible by the number (10) 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 13030737374520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701113809920).

13030737374520 is an abundant number, since it is smaller than the sum of its proper divisors (32371490245320).

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

13030737374520 is a wasteful number, since it uses less digits than its factorization.

13030737374520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64057 (or 64041 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 45.

The spelling of 13030737374520 in words is "thirteen trillion, thirty billion, seven hundred thirty-seven million, three hundred seventy-four thousand, five hundred twenty".