13101102030400 has 84 divisors (see below), whose sum is σ = 32599111888260. Its totient is φ = 5181559398400.

The previous prime is 13101102030347. The next prime is 13101102030473. The reversal of 13101102030400 is 403020110131.

It can be written as a sum of positive squares in 6 ways, for example, as 2663136775744 + 10437965254656 = 1631912^2 + 3230784^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45858661 + ... + 46143460.

Almost surely, 2^{13101102030400} is an apocalyptic number.

13101102030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101102030400 is an abundant number, since it is smaller than the sum of its proper divisors (19498009857860).

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

13101102030400 is an equidigital number, since it uses as much as digits as its factorization.

13101102030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92002232 (or 92002217 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13101102030400 its reverse (403020110131), we get a palindrome (13504122140531).

The spelling of 13101102030400 in words is "thirteen trillion, one hundred one billion, one hundred two million, thirty thousand, four hundred".