1313131140 has 144 divisors (see below), whose sum is σ = 4119111360. Its totient is φ = 338423040.

The previous prime is 1313131129. The next prime is 1313131159. The reversal of 1313131140 is 411313131.

1313131140 is a `hidden beast` number, since 1 + 313 + 1 + 311 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646807 + ... + 648833.

It is an arithmetic number, because the mean of its divisors is an integer number (28604940).

Almost surely, 2^1313131140 is an apocalyptic number.

1313131140 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 1313131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059555680).

1313131140 is an abundant number, since it is smaller than the sum of its proper divisors (2805980220).

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

1313131140 is a wasteful number, since it uses less digits than its factorization.

1313131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2157 counting only the distinct ones).

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

The square root of 1313131140 is about 36237.1513781092. The cubic root of 1313131140 is about 1095.0552546084.

Adding to 1313131140 its reverse (411313131), we get a palindrome (1724444271).

The spelling of 1313131140 in words is "one billion, three hundred thirteen million, one hundred thirty-one thousand, one hundred forty".