1313400100 has 36 divisors (see below), whose sum is σ = 2927115604. Its totient is φ = 511159680.

The previous prime is 1313400097. The next prime is 1313400133. The reversal of 1313400100 is 10043131.

It can be written as a sum of positive squares in 6 ways, for example, as 119421184 + 1193978916 = 10928^2 + 34554^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173787 + ... + 181186.

Almost surely, 2^1313400100 is an apocalyptic number.

1313400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313400100 is an abundant number, since it is smaller than the sum of its proper divisors (1613715504).

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

1313400100 is a wasteful number, since it uses less digits than its factorization.

1313400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355024 (or 355017 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1313400100 is about 36240.8622965845. The cubic root of 1313400100 is about 1095.1300138222.

Adding to 1313400100 its reverse (10043131), we get a palindrome (1323443231).

The spelling of 1313400100 in words is "one billion, three hundred thirteen million, four hundred thousand, one hundred".