13106311142400 has 4752 divisors, whose sum is σ = 62354452392960. Its totient is φ = 2708884684800.

The previous prime is 13106311142389. The next prime is 13106311142411. The reversal of 13106311142400 is 424111360131.

13106311142400 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 631 + 1 + 1 + 4 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13106311142389) and next prime (13106311142411).

It is a super-2 number, since 2×13106311142400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 179538508764 + ... + 179538508836.

Almost surely, 2^{13106311142400} is an apocalyptic number.

13106311142400 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 13106311142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31177226196480).

13106311142400 is an abundant number, since it is smaller than the sum of its proper divisors (49248141250560).

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

13106311142400 is a wasteful number, since it uses less digits than its factorization.

13106311142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13106311142400 in words is "thirteen trillion, one hundred six billion, three hundred eleven million, one hundred forty-two thousand, four hundred".