131200302120030 has 512 divisors, whose sum is σ = 435282078873600. Its totient is φ = 27627999436800.

The previous prime is 131200302120001. The next prime is 131200302120067. The reversal of 131200302120030 is 30021203002131.

131200302120030 is a `hidden beast` number, since 1 + 312 + 0 + 0 + 302 + 1 + 20 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131200302119985 and 131200302120012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5441951616 + ... + 5441975724.

It is an arithmetic number, because the mean of its divisors is an integer number (850160310300).

Almost surely, 2^{131200302120030} is an apocalyptic number.

131200302120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131200302120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217641039436800).

131200302120030 is an abundant number, since it is smaller than the sum of its proper divisors (304081776753570).

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

131200302120030 is a wasteful number, since it uses less digits than its factorization.

131200302120030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32457 (or 32451 counting only the distinct ones).

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

Adding to 131200302120030 its reverse (30021203002131), we get a palindrome (161221505122161).

The spelling of 131200302120030 in words is "one hundred thirty-one trillion, two hundred billion, three hundred two million, one hundred twenty thousand, thirty".