130051345320072 has 384 divisors, whose sum is σ = 426180669264000. Its totient is φ = 36396168399360.

The previous prime is 130051345319989. The next prime is 130051345320103. The reversal of 130051345320072 is 270023543150031.

130051345320072 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 51 + 3 + 4 + 532 + 0 + 0 + 72 = 666.

It is a super-2 number, since 2×130051345320072² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34666258 + ... + 38234174.

It is an arithmetic number, because the mean of its divisors is an integer number (1109845492875).

Almost surely, 2^{130051345320072} is an apocalyptic number.

130051345320072 is a gapful number since it is divisible by the number (12) 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 130051345320072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213090334632000).

130051345320072 is an abundant number, since it is smaller than the sum of its proper divisors (296129323943928).

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

130051345320072 is a wasteful number, since it uses less digits than its factorization.

130051345320072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568018 (or 3567985 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 130051345320072 in words is "one hundred thirty trillion, fifty-one billion, three hundred forty-five million, three hundred twenty thousand, seventy-two".