13013222013000 has 384 divisors, whose sum is σ = 48192916636800. Its totient is φ = 3140938944000.

The previous prime is 13013222012969. The next prime is 13013222013047. The reversal of 13013222013000 is 31022231031.

13013222013000 is a `hidden beast` number, since 1 + 30 + 132 + 2 + 201 + 300 + 0 = 666.

13013222013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22383999 + ... + 22958001.

It is an arithmetic number, because the mean of its divisors is an integer number (125502387075).

Almost surely, 2^{13013222013000} is an apocalyptic number.

13013222013000 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 13013222013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24096458318400).

13013222013000 is an abundant number, since it is smaller than the sum of its proper divisors (35179694623800).

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

13013222013000 is a wasteful number, since it uses less digits than its factorization.

13013222013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574270 (or 574253 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13013222013000 its reverse (31022231031), we get a palindrome (13044244244031).

The spelling of 13013222013000 in words is "thirteen trillion, thirteen billion, two hundred twenty-two million, thirteen thousand".