130633442352 has 120 divisors (see below), whose sum is σ = 419409179904. Its totient is φ = 37181849472.

The previous prime is 130633442347. The next prime is 130633442371. The reversal of 130633442352 is 253244336031.

130633442352 is a `hidden beast` number, since 1 + 306 + 3 + 344 + 2 + 3 + 5 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 18723 + ... + 511485.

Almost surely, 2^130633442352 is an apocalyptic number.

130633442352 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 130633442352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209704589952).

130633442352 is an abundant number, since it is smaller than the sum of its proper divisors (288775737552).

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

130633442352 is a wasteful number, since it uses less digits than its factorization.

130633442352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493047 (or 493038 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 130633442352 its reverse (253244336031), we get a palindrome (383877778383).

It can be divided in two parts, 130633 and 442352, that added together give a triangular number (572985 = T₁₀₇₀).

The spelling of 130633442352 in words is "one hundred thirty billion, six hundred thirty-three million, four hundred forty-two thousand, three hundred fifty-two".