131303121203100 has 576 divisors, whose sum is σ = 479808650280960. Its totient is φ = 26929409817600.

The previous prime is 131303121203039. The next prime is 131303121203119. The reversal of 131303121203100 is 1302121303131.

It is a happy number.

It is a super-2 number, since 2×131303121203100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2049561669 + ... + 2049625731.

It is an arithmetic number, because the mean of its divisors is an integer number (833001128960).

Almost surely, 2^{131303121203100} is an apocalyptic number.

131303121203100 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 131303121203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904325140480).

131303121203100 is an abundant number, since it is smaller than the sum of its proper divisors (348505529077860).

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

131303121203100 is a wasteful number, since it uses less digits than its factorization.

131303121203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65250 (or 65243 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131303121203100 its reverse (1302121303131), we get a palindrome (132605242506231).

The spelling of 131303121203100 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-one million, two hundred three thousand, one hundred".