13024314312100 has 108 divisors (see below), whose sum is σ = 35406097695444. Its totient is φ = 4121980773120.

The previous prime is 13024314312091. The next prime is 13024314312179. The reversal of 13024314312100 is 121341342031.

It can be written as a sum of positive squares in 6 ways, for example, as 1823726006116 + 11200588305984 = 1350454^2 + 3346728^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102167967 + ... + 102295366.

Almost surely, 2^{13024314312100} is an apocalyptic number.

13024314312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13024314312100 is an abundant number, since it is smaller than the sum of its proper divisors (22381783383344).

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

13024314312100 is a wasteful number, since it uses less digits than its factorization.

13024314312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204463374 (or 204463360 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13024314312100 its reverse (121341342031), we get a palindrome (13145655654131).

The spelling of 13024314312100 in words is "thirteen trillion, twenty-four billion, three hundred fourteen million, three hundred twelve thousand, one hundred".