130821102864 has 315 divisors, whose sum is σ = 405753973567. Its totient is φ = 40833580032.

The previous prime is 130821102859. The next prime is 130821102889. The reversal of 130821102864 is 468201128031.

The square root of 130821102864 is 361692.

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

It can be written as a sum of positive squares in 4 ways, for example, as 85093557264 + 45727545600 = 291708^2 + 213840^2 .

It is a super-2 number, since 2×130821102864² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 664066414 + ... + 664066610.

Almost surely, 2^130821102864 is an apocalyptic number.

130821102864 is the 361692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130821102864

130821102864 is an abundant number, since it is smaller than the sum of its proper divisors (274932870703).

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

130821102864 is an frugal number, since it uses more digits than its factorization.

130821102864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 130821102864 by its sum of digits (36), we get a square (4709559703104 = 2170152²).

130821102864 divided by its sum of digits (36) gives a square (3633919524 = 60282²).

The spelling of 130821102864 in words is "one hundred thirty billion, eight hundred twenty-one million, one hundred two thousand, eight hundred sixty-four".