101313232020000 has 6480 divisors, whose sum is σ = 511134276324672. Its totient is φ = 18794280960000.

The previous prime is 101313232019941. The next prime is 101313232020001. The reversal of 101313232020000 is 20232313101.

101313232020000 is a `hidden beast` number, since 1 + 0 + 13 + 132 + 320 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101313232020001) by changing a digit.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 606666059917 + ... + 606666060083.

Almost surely, 2^{101313232020000} is an apocalyptic number.

101313232020000 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 101313232020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255567138162336).

101313232020000 is an abundant number, since it is smaller than the sum of its proper divisors (409821044304672).

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

101313232020000 is a wasteful number, since it uses less digits than its factorization.

101313232020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101313232020000 its reverse (20232313101), we get a palindrome (101333464333101).

The spelling of 101313232020000 in words is "one hundred one trillion, three hundred thirteen billion, two hundred thirty-two million, twenty thousand".