13031015754372 has 288 divisors, whose sum is σ = 40465387468800. Its totient is φ = 3221243182080.

The previous prime is 13031015754311. The next prime is 13031015754373. The reversal of 13031015754372 is 27345751013031.

It is a super-2 number, since 2×13031015754372² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13031015754373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29383948 + ... + 29824124.

It is an arithmetic number, because the mean of its divisors is an integer number (140504817600).

Almost surely, 2^{13031015754372} is an apocalyptic number.

13031015754372 is a gapful number since it is divisible by the number (12) 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 13031015754372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232693734400).

13031015754372 is an abundant number, since it is smaller than the sum of its proper divisors (27434371714428).

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

13031015754372 is a wasteful number, since it uses less digits than its factorization.

13031015754372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440431 (or 440422 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 13031015754372 in words is "thirteen trillion, thirty-one billion, fifteen million, seven hundred fifty-four thousand, three hundred seventy-two".