201002132331000 has 6144 divisors, whose sum is σ = 1006739435520000. Its totient is φ = 34780741632000.

The previous prime is 201002132330969. The next prime is 201002132331019. The reversal of 201002132331000 is 133231200102.

201002132331000 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 21 + 323 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×201002132331000² (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 1535 ways as a sum of consecutive naturals, for example, 447666218776 + ... + 447666219224.

It is an arithmetic number, because the mean of its divisors is an integer number (163857330000).

Almost surely, 2^{201002132331000} is an apocalyptic number.

201002132331000 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 201002132331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503369717760000).

201002132331000 is an abundant number, since it is smaller than the sum of its proper divisors (805737303189000).

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

201002132331000 is a wasteful number, since it uses less digits than its factorization.

201002132331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 623 counting only the distinct ones).

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

Adding to 201002132331000 its reverse (133231200102), we get a palindrome (201135363531102).

The spelling of 201002132331000 in words is "two hundred one trillion, two billion, one hundred thirty-two million, three hundred thirty-one thousand".