1513102313424 has 160 divisors (see below), whose sum is σ = 4253671747584. Its totient is φ = 460693094400.

The previous prime is 1513102313383. The next prime is 1513102313441. The reversal of 1513102313424 is 4243132013151.

It is a super-2 number, since 2×1513102313424² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1513102313391 and 1513102313400.

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 31 ways as a sum of consecutive naturals, for example, 127113457 + ... + 127125359.

Almost surely, 2^{1513102313424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1513102313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126835873792).

1513102313424 is an abundant number, since it is smaller than the sum of its proper divisors (2740569434160).

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

1513102313424 is a wasteful number, since it uses less digits than its factorization.

1513102313424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14045 (or 14039 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1513102313424 its reverse (4243132013151), we get a palindrome (5756234326575).

The spelling of 1513102313424 in words is "one trillion, five hundred thirteen billion, one hundred two million, three hundred thirteen thousand, four hundred twenty-four".