13106601052416 has 405 divisors, whose sum is σ = 40432729645539. Its totient is φ = 4222722585600.

The previous prime is 13106601052393. The next prime is 13106601052427. The reversal of 13106601052416 is 61425010660131.

The square root of 13106601052416 is 3620304.

It is a perfect power (a square), and thus also a powerful number.

13106601052416 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 6 + 601 + 0 + 5 + 2 + 41 + 6 = 666.

It is a super-2 number, since 2×13106601052416² (a number of 27 digits) contains 22 as substring.

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 44 ways as a sum of consecutive naturals, for example, 16161036651 + ... + 16161037461.

Almost surely, 2^{13106601052416} is an apocalyptic number.

13106601052416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13106601052416 is the 3620304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106601052416

13106601052416 is an abundant number, since it is smaller than the sum of its proper divisors (27326128593123).

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

13106601052416 is an frugal number, since it uses more digits than its factorization.

13106601052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 13106601052416 by its sum of digits (36), we get a square (471837637886976 = 21721824²).

13106601052416 divided by its sum of digits (36) gives a square (364072251456 = 603384²).

The spelling of 13106601052416 in words is "thirteen trillion, one hundred six billion, six hundred one million, fifty-two thousand, four hundred sixteen".