13321751520 has 864 divisors, whose sum is σ = 55753463808. Its totient is φ = 2661120000.

The previous prime is 13321751507. The next prime is 13321751533. The reversal of 13321751520 is 2515712331.

It is an interprime number because it is at equal distance from previous prime (13321751507) and next prime (13321751533).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88223445 + ... + 88223595.

It is an arithmetic number, because the mean of its divisors is an integer number (64529472).

Almost surely, 2^13321751520 is an apocalyptic number.

13321751520 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 13321751520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27876731904).

13321751520 is an abundant number, since it is smaller than the sum of its proper divisors (42431712288).

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

13321751520 is a wasteful number, since it uses less digits than its factorization.

13321751520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 13321751520 in words is "thirteen billion, three hundred twenty-one million, seven hundred fifty-one thousand, five hundred twenty".