1313131410 has 72 divisors (see below), whose sum is σ = 3569165964. Its totient is φ = 334931520.

The previous prime is 1313131409. The next prime is 1313131411. The reversal of 1313131410 is 141313131.

It is an interprime number because it is at equal distance from previous prime (1313131409) and next prime (1313131411).

It can be written as a sum of positive squares in 2 ways, for example, as 1204575849 + 108555561 = 34707^2 + 10419^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1313131411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33820 + ... + 61400.

Almost surely, 2^1313131410 is an apocalyptic number.

1313131410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313131410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784582982).

1313131410 is an abundant number, since it is smaller than the sum of its proper divisors (2256034554).

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

1313131410 is a wasteful number, since it uses less digits than its factorization.

1313131410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27640 (or 27614 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1313131410 is about 36237.1551035674. The cubic root of 1313131410 is about 1095.0553296618.

Adding to 1313131410 its reverse (141313131), we get a palindrome (1454444541).

The spelling of 1313131410 in words is "one billion, three hundred thirteen million, one hundred thirty-one thousand, four hundred ten".