130971610000 has 675 divisors, whose sum is σ = 414257884887. Its totient is φ = 39953760000.

The previous prime is 130971609997. The next prime is 130971610039. The reversal of 130971610000 is 16179031.

The square root of 130971610000 is 361900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10268174224 + 120703435776 = 101332^2 + 347424^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2786629977 + ... + 2786630023.

Almost surely, 2^130971610000 is an apocalyptic number.

130971610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130971610000 is the 361900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130971610000

130971610000 is an abundant number, since it is smaller than the sum of its proper divisors (283286274887).

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

130971610000 is an equidigital number, since it uses as much as digits as its factorization.

130971610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

Adding to 130971610000 its reverse (16179031), we get a palindrome (130987789031).

The spelling of 130971610000 in words is "one hundred thirty billion, nine hundred seventy-one million, six hundred ten thousand".