131210021333100 has 144 divisors (see below), whose sum is σ = 383712684128928. Its totient is φ = 34613763317760.

The previous prime is 131210021333099. The next prime is 131210021333123. The reversal of 131210021333100 is 1333120012131.

It is a happy number.

It is a super-2 number, since 2×131210021333100² (a number of 29 digits) contains 22 as substring.

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, 66923962 + ... + 68856638.

It is an arithmetic number, because the mean of its divisors is an integer number (2664671417562).

Almost surely, 2^{131210021333100} is an apocalyptic number.

131210021333100 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 131210021333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191856342064464).

131210021333100 is an abundant number, since it is smaller than the sum of its proper divisors (252502662795828).

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

131210021333100 is a wasteful number, since it uses less digits than its factorization.

131210021333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935124 (or 1935117 counting only the distinct ones).

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

Adding to 131210021333100 its reverse (1333120012131), we get a palindrome (132543141345231).

The spelling of 131210021333100 in words is "one hundred thirty-one trillion, two hundred ten billion, twenty-one million, three hundred thirty-three thousand, one hundred".