101349631918080 has 3264 divisors, whose sum is σ = 457061832235008. Its totient is φ = 20975462645760.

The previous prime is 101349631918019. The next prime is 101349631918081. The reversal of 101349631918080 is 80819136943101.

101349631918080 is a `hidden beast` number, since 1 + 0 + 1 + 349 + 63 + 1 + 91 + 80 + 80 = 666.

101349631918080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101349631918081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 514465136542 + ... + 514465136738.

Almost surely, 2^{101349631918080} is an apocalyptic number.

101349631918080 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 101349631918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228530916117504).

101349631918080 is an abundant number, since it is smaller than the sum of its proper divisors (355712200316928).

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

101349631918080 is an frugal number, since it uses more digits than its factorization.

101349631918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 101349631918080 in words is "one hundred one trillion, three hundred forty-nine billion, six hundred thirty-one million, nine hundred eighteen thousand, eighty".