13351131366400 has 297 divisors, whose sum is σ = 33982521893677. Its totient is φ = 5200843571200.

The previous prime is 13351131366389. The next prime is 13351131366439. The reversal of 13351131366400 is 466313115331.

The square root of 13351131366400 is 3653920.

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

It can be written as a sum of positive squares in 13 ways, for example, as 11276056544256 + 2075074822144 = 3357984^2 + 1440512^2 .

It is a super-3 number, since 3×13351131366400³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13351131366400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23969714922 + ... + 23969715478.

Almost surely, 2^{13351131366400} is an apocalyptic number.

13351131366400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13351131366400 is the 3653920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13351131366400

13351131366400 is an abundant number, since it is smaller than the sum of its proper divisors (20631390527277).

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

13351131366400 is an frugal number, since it uses more digits than its factorization.

13351131366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 13351131366400 in words is "thirteen trillion, three hundred fifty-one billion, one hundred thirty-one million, three hundred sixty-six thousand, four hundred".