13037226704100 has 567 divisors, whose sum is σ = 43566228860889. Its totient is φ = 3384823982400.

The previous prime is 13037226704077. The next prime is 13037226704137. The reversal of 13037226704100 is 140762273031.

The square root of 13037226704100 is 3610710.

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

13037226704100 is a `hidden beast` number, since 13 + 0 + 3 + 7 + 226 + 7 + 0 + 410 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4693401613476 + 8343825090624 = 2166426^2 + 2888568^2 .

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 188 ways as a sum of consecutive naturals, for example, 41920342945 + ... + 41920343255.

Almost surely, 2^{13037226704100} is an apocalyptic number.

13037226704100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13037226704100 is the 3610710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13037226704100

13037226704100 is an abundant number, since it is smaller than the sum of its proper divisors (30529002156789).

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

13037226704100 is an frugal number, since it uses more digits than its factorization.

13037226704100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Multiplying 13037226704100 by its sum of digits (36), we get a square (469340161347600 = 21664260²).

13037226704100 divided by its sum of digits (36) gives a square (362145186225 = 601785²).

Adding to 13037226704100 its reverse (140762273031), we get a palindrome (13177988977131).

The spelling of 13037226704100 in words is "thirteen trillion, thirty-seven billion, two hundred twenty-six million, seven hundred four thousand, one hundred".