1311410100 has 432 divisors, whose sum is σ = 5146031744. Its totient is φ = 250905600.

The previous prime is 1311410059. The next prime is 1311410161. The reversal of 1311410100 is 10141131.

1311410100 = T₆₄ + T₆₅ + ... + T₁₉₈₈.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3303102 + ... + 3303498.

Almost surely, 2^1311410100 is an apocalyptic number.

1311410100 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 1311410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573015872).

1311410100 is an abundant number, since it is smaller than the sum of its proper divisors (3834621644).

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

1311410100 is a wasteful number, since it uses less digits than its factorization.

1311410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1311410100 is about 36213.3966923844. The cubic root of 1311410100 is about 1094.5766383210.

Adding to 1311410100 its reverse (10141131), we get a palindrome (1321551231).

The spelling of 1311410100 in words is "one billion, three hundred eleven million, four hundred ten thousand, one hundred".