202130131203000 has 4608 divisors, whose sum is σ = 975008499978240. Its totient is φ = 36447667200000.

The previous prime is 202130131202983. The next prime is 202130131203001. The reversal of 202130131203000 is 302131031202.

202130131203000 is a `hidden beast` number, since 2 + 0 + 21 + 30 + 1 + 312 + 0 + 300 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202130131203001) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 320333012685 + ... + 320333013315.

It is an arithmetic number, because the mean of its divisors is an integer number (211590386280).

Almost surely, 2^{202130131203000} is an apocalyptic number.

202130131203000 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 202130131203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487504249989120).

202130131203000 is an abundant number, since it is smaller than the sum of its proper divisors (772878368775240).

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

202130131203000 is a wasteful number, since it uses less digits than its factorization.

202130131203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 740 counting only the distinct ones).

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

Adding to 202130131203000 its reverse (302131031202), we get a palindrome (202432262234202).

The spelling of 202130131203000 in words is "two hundred two trillion, one hundred thirty billion, one hundred thirty-one million, two hundred three thousand".