1312910100 has 144 divisors (see below), whose sum is σ = 4262643840. Its totient is φ = 346636800.

The previous prime is 1312910087. The next prime is 1312910149. The reversal of 1312910100 is 10192131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 275740 + ... + 280460.

Almost surely, 2^1312910100 is an apocalyptic number.

1312910100 is a gapful number since it is divisible by the number (10) 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 1312910100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131321920).

1312910100 is an abundant number, since it is smaller than the sum of its proper divisors (2949733740).

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

1312910100 is a wasteful number, since it uses less digits than its factorization.

1312910100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1312910100 is about 36234.1013411400. The cubic root of 1312910100 is about 1094.9938074335.

It can be divided in two parts, 1312910 and 100, that added together give a triangular number (1313010 = T₁₆₂₀).

The spelling of 1312910100 in words is "one billion, three hundred twelve million, nine hundred ten thousand, one hundred".