131312202021000 has 3072 divisors, whose sum is σ = 615254512803840. Its totient is φ = 24376826880000.

The previous prime is 131312202020983. The next prime is 131312202021071. The reversal of 131312202021000 is 120202213131.

131312202021000 is a `hidden beast` number, since 1 + 31 + 312 + 20 + 202 + 100 + 0 = 666.

131312202021000 is digitally balanced in base 4, 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 70333262067 + ... + 70333263933.

It is an arithmetic number, because the mean of its divisors is an integer number (200278161720).

Almost surely, 2^{131312202021000} is an apocalyptic number.

131312202021000 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 131312202021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307627256401920).

131312202021000 is an abundant number, since it is smaller than the sum of its proper divisors (483942310782840).

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

131312202021000 is a wasteful number, since it uses less digits than its factorization.

131312202021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131312202021000 its reverse (120202213131), we get a palindrome (131432404234131).

The spelling of 131312202021000 in words is "one hundred thirty-one trillion, three hundred twelve billion, two hundred two million, twenty-one thousand".