1310012100 has 54 divisors (see below), whose sum is σ = 4106162970. Its totient is φ = 349336320.

The previous prime is 1310012087. The next prime is 1310012111. The reversal of 1310012100 is 12100131.

It can be written as a sum of positive squares in 3 ways, for example, as 1887876 + 1308124224 = 1374^2 + 36168^2 .

It is a super-2 number, since 2×1310012100² = 3432263404292820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 17 ways as a sum of consecutive naturals, for example, 726885 + ... + 728684.

It is an arithmetic number, because the mean of its divisors is an integer number (76040055).

Almost surely, 2^1310012100 is an apocalyptic number.

1310012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310012100 is an abundant number, since it is smaller than the sum of its proper divisors (2796150870).

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

1310012100 is a wasteful number, since it uses less digits than its factorization.

1310012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455589 (or 1455579 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1310012100 is about 36194.0892964583. The cubic root of 1310012100 is about 1094.1875502154.

Adding to 1310012100 its reverse (12100131), we get a palindrome (1322112231).

It can be divided in two parts, 13100 and 12100, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 1310012100 in words is "one billion, three hundred ten million, twelve thousand, one hundred".