130961191248 has 60 divisors (see below), whose sum is σ = 369184751988. Its totient is φ = 43335083520.

The previous prime is 130961191247. The next prime is 130961191303. The reversal of 130961191248 is 842191169031.

130961191248 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 611 + 9 + 1 + 24 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81937917504 + 49023273744 = 286248^2 + 221412^2 .

It is a super-2 number, since 2×130961191248² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130961191241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3299443 + ... + 3338898.

Almost surely, 2^130961191248 is an apocalyptic number.

130961191248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130961191248 is an abundant number, since it is smaller than the sum of its proper divisors (238223560740).

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

130961191248 is a wasteful number, since it uses less digits than its factorization.

130961191248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638492 (or 6638483 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 130961191248 in words is "one hundred thirty billion, nine hundred sixty-one million, one hundred ninety-one thousand, two hundred forty-eight".