131051251442100 has 216 divisors, whose sum is σ = 417953851928928. Its totient is φ = 31442467123200.

The previous prime is 131051251442071. The next prime is 131051251442317. The reversal of 131051251442100 is 1244152150131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28939354 + ... + 33160046.

It is an arithmetic number, because the mean of its divisors is an integer number (1934971536708).

Almost surely, 2^{131051251442100} is an apocalyptic number.

131051251442100 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 131051251442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208976925964464).

131051251442100 is an abundant number, since it is smaller than the sum of its proper divisors (286902600486828).

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

131051251442100 is a wasteful number, since it uses less digits than its factorization.

131051251442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220915 (or 4220811 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 131051251442100 in words is "one hundred thirty-one trillion, fifty-one billion, two hundred fifty-one million, four hundred forty-two thousand, one hundred".