13103733746400 has 288 divisors, whose sum is σ = 46541596647168. Its totient is φ = 3175882444800.

The previous prime is 13103733746371. The next prime is 13103733746407. The reversal of 13103733746400 is 464733730131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103733746407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111269949 + ... + 111387651.

It is an arithmetic number, because the mean of its divisors is an integer number (161602766136).

Almost surely, 2^{13103733746400} is an apocalyptic number.

13103733746400 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 13103733746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23270798323584).

13103733746400 is an abundant number, since it is smaller than the sum of its proper divisors (33437862900768).

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

13103733746400 is a wasteful number, since it uses less digits than its factorization.

13103733746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121954 (or 121941 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 13103733746400 in words is "thirteen trillion, one hundred three billion, seven hundred thirty-three million, seven hundred forty-six thousand, four hundred".