13013227319400 has 2304 divisors, whose sum is σ = 58068583372800. Its totient is φ = 2630278656000.

The previous prime is 13013227319387. The next prime is 13013227319413. The reversal of 13013227319400 is 491372231031.

13013227319400 is a `hidden beast` number, since 1 + 3 + 0 + 13 + 227 + 3 + 19 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (13013227319387) and next prime (13013227319413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 24881887539 + ... + 24881888061.

It is an arithmetic number, because the mean of its divisors is an integer number (25203378200).

Almost surely, 2^{13013227319400} is an apocalyptic number.

13013227319400 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 13013227319400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29034291686400).

13013227319400 is an abundant number, since it is smaller than the sum of its proper divisors (45055356053400).

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

13013227319400 is a wasteful number, since it uses less digits than its factorization.

13013227319400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13013227319400 in words is "thirteen trillion, thirteen billion, two hundred twenty-seven million, three hundred nineteen thousand, four hundred".