13013212233000 has 256 divisors, whose sum is σ = 48843577036800. Its totient is φ = 2817898502400.

The previous prime is 13013212232983. The next prime is 13013212233001. The reversal of 13013212233000 is 33221231031.

It is a super-2 number, since 2×13013212233000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13013212233001) 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, 15908284 + ... + 16706283.

It is an arithmetic number, because the mean of its divisors is an integer number (190795222800).

Almost surely, 2^{13013212233000} is an apocalyptic number.

13013212233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013212233000 is an abundant number, since it is smaller than the sum of its proper divisors (35830364803800).

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

13013212233000 is a wasteful number, since it uses less digits than its factorization.

13013212233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32614617 (or 32614603 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13013212233000 its reverse (33221231031), we get a palindrome (13046433464031).

The spelling of 13013212233000 in words is "thirteen trillion, thirteen billion, two hundred twelve million, two hundred thirty-three thousand".