13016362220400 has 480 divisors, whose sum is σ = 51994460141568. Its totient is φ = 2704170470400.

The previous prime is 13016362220387. The next prime is 13016362220413. The reversal of 13016362220400 is 402226361031.

It is an interprime number because it is at equal distance from previous prime (13016362220387) and next prime (13016362220413).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 628586847 + ... + 628607553.

Almost surely, 2^{13016362220400} is an apocalyptic number.

13016362220400 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 13016362220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25997230070784).

13016362220400 is an abundant number, since it is smaller than the sum of its proper divisors (38978097921168).

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

13016362220400 is a wasteful number, since it uses less digits than its factorization.

13016362220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27549 (or 27538 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13016362220400 its reverse (402226361031), we get a palindrome (13418588581431).

The spelling of 13016362220400 in words is "thirteen trillion, sixteen billion, three hundred sixty-two million, two hundred twenty thousand, four hundred".