13204631540100 has 288 divisors, whose sum is σ = 51296762797056. Its totient is φ = 2532756441600.

The previous prime is 13204631540083. The next prime is 13204631540131. The reversal of 13204631540100 is 104513640231.

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

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, 21685434 + ... + 22286033.

It is an arithmetic number, because the mean of its divisors is an integer number (178113759712).

Almost surely, 2^{13204631540100} is an apocalyptic number.

13204631540100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13204631540100 is an abundant number, since it is smaller than the sum of its proper divisors (38092131256956).

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

13204631540100 is a wasteful number, since it uses less digits than its factorization.

13204631540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43971515 (or 43971508 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

It can be divided in two parts, 13204631 and 540100, that added together give a palindrome (13744731).

The spelling of 13204631540100 in words is "thirteen trillion, two hundred four billion, six hundred thirty-one million, five hundred forty thousand, one hundred".