130513351024 has 180 divisors, whose sum is σ = 303820835472. Its totient is φ = 54151802880.

The previous prime is 130513351019. The next prime is 130513351061. The reversal of 130513351024 is 420153315031.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 130513350983 and 130513351001.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 220089672 + ... + 220090264.

Almost surely, 2^130513351024 is an apocalyptic number.

130513351024 is a gapful number since it is divisible by the number (14) 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 130513351024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151910417736).

130513351024 is an abundant number, since it is smaller than the sum of its proper divisors (173307484448).

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

130513351024 is a wasteful number, since it uses less digits than its factorization.

130513351024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 130513351024 its reverse (420153315031), we get a palindrome (550666666055).

The spelling of 130513351024 in words is "one hundred thirty billion, five hundred thirteen million, three hundred fifty-one thousand, twenty-four".