1310401100 has 54 divisors (see below), whose sum is σ = 2884229460. Its totient is φ = 516769920.

The previous prime is 1310401091. The next prime is 1310401111. The reversal of 1310401100 is 11040131.

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, 531671 + ... + 534129.

Almost surely, 2^1310401100 is an apocalyptic number.

1310401100 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 1310401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442114730).

1310401100 is an abundant number, since it is smaller than the sum of its proper divisors (1573828360).

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

1310401100 is a wasteful number, since it uses less digits than its factorization.

1310401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1310401100 is about 36199.4627031949. The cubic root of 1310401100 is about 1094.2958435748.

Adding to 1310401100 its reverse (11040131), we get a palindrome (1321441231).

The spelling of 1310401100 in words is "one billion, three hundred ten million, four hundred one thousand, one hundred".