202001332131000 has 384 divisors, whose sum is σ = 704227385347200. Its totient is φ = 52186195814400.

The previous prime is 202001332130981. The next prime is 202001332131017. The reversal of 202001332131000 is 131233100202.

202001332131000 is a `hidden beast` number, since 2 + 0 + 20 + 0 + 1 + 332 + 1 + 310 + 0 + 0 = 666.

202001332131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202001332131000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 76287261 + ... + 78890739.

It is an arithmetic number, because the mean of its divisors is an integer number (1833925482675).

Almost surely, 2^{202001332131000} is an apocalyptic number.

202001332131000 is a gapful number since it is divisible by the number (20) 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 202001332131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352113692673600).

202001332131000 is an abundant number, since it is smaller than the sum of its proper divisors (502226053216200).

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

202001332131000 is a wasteful number, since it uses less digits than its factorization.

202001332131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603776 (or 2603759 counting only the distinct ones).

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

Adding to 202001332131000 its reverse (131233100202), we get a palindrome (202132565231202).

The spelling of 202001332131000 in words is "two hundred two trillion, one billion, three hundred thirty-two million, one hundred thirty-one thousand".