1313112100 has 72 divisors (see below), whose sum is σ = 2931140520. Its totient is φ = 510382080.

The previous prime is 1313112091. The next prime is 1313112109. The reversal of 1313112100 is 12113131.

It is an interprime number because it is at equal distance from previous prime (1313112091) and next prime (1313112109).

It can be written as a sum of positive squares in 12 ways, for example, as 11778624 + 1301333476 = 3432^2 + 36074^2 .

It is not an unprimeable number, because it can be changed into a prime (1313112109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576564 + ... + 578836.

It is an arithmetic number, because the mean of its divisors is an integer number (40710285).

Almost surely, 2^1313112100 is an apocalyptic number.

1313112100 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 1313112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465570260).

1313112100 is an abundant number, since it is smaller than the sum of its proper divisors (1618028420).

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

1313112100 is a wasteful number, since it uses less digits than its factorization.

1313112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1313112100 is about 36236.8886633497. Note that the first 3 decimals coincide. The cubic root of 1313112100 is about 1095.0499619274.

Adding to 1313112100 its reverse (12113131), we get a palindrome (1325225231).

The spelling of 1313112100 in words is "one billion, three hundred thirteen million, one hundred twelve thousand, one hundred".