13323055031000 has 256 divisors, whose sum is σ = 36968633694720. Its totient is φ = 4430274240000.

The previous prime is 13323055030997. The next prime is 13323055031021. The reversal of 13323055031000 is 13055032331.

It is a super-2 number, since 2×13323055031000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14865635 + ... + 15736365.

It is an arithmetic number, because the mean of its divisors is an integer number (144408725370).

Almost surely, 2^{13323055031000} is an apocalyptic number.

13323055031000 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 13323055031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18484316847360).

13323055031000 is an abundant number, since it is smaller than the sum of its proper divisors (23645578663720).

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

13323055031000 is a wasteful number, since it uses less digits than its factorization.

13323055031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870883 (or 870869 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 26.

The spelling of 13323055031000 in words is "thirteen trillion, three hundred twenty-three billion, fifty-five million, thirty-one thousand".