130312162778420 has 384 divisors, whose sum is σ = 325781826370560. Its totient is φ = 42860575457280.

The previous prime is 130312162778401. The next prime is 130312162778449. The reversal of 130312162778420 is 24877261213031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113020088564 + ... + 113020089716.

It is an arithmetic number, because the mean of its divisors is an integer number (848390172840).

Almost surely, 2^{130312162778420} is an apocalyptic number.

130312162778420 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 130312162778420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162890913185280).

130312162778420 is an abundant number, since it is smaller than the sum of its proper divisors (195469663592140).

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

130312162778420 is a wasteful number, since it uses less digits than its factorization.

130312162778420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 130312162778420 in words is "one hundred thirty trillion, three hundred twelve billion, one hundred sixty-two million, seven hundred seventy-eight thousand, four hundred twenty".