202002131000 has 192 divisors, whose sum is σ = 485587440000. Its totient is φ = 78637728000.

The previous prime is 202002130997. The next prime is 202002131017. The reversal of 202002131000 is 131200202.

It is a happy number.

It is a super-2 number, since 2×202002131000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355718926 + ... + 1355719074.

It is an arithmetic number, because the mean of its divisors is an integer number (2529101250).

Almost surely, 2^202002131000 is an apocalyptic number.

202002131000 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 202002131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242793720000).

202002131000 is an abundant number, since it is smaller than the sum of its proper divisors (283585309000).

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

202002131000 is a wasteful number, since it uses less digits than its factorization.

202002131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 202002131000 its reverse (131200202), we get a palindrome (202133331202).

The spelling of 202002131000 in words is "two hundred two billion, two million, one hundred thirty-one thousand".