1313961099840 has 1344 divisors, whose sum is σ = 5107623333120. Its totient is φ = 317708697600.

The previous prime is 1313961099827. The next prime is 1313961099877. The reversal of 1313961099840 is 489901693131.

1313961099840 is a `hidden beast` number, since 1 + 3 + 13 + 9 + 610 + 9 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13009515790 + ... + 13009515890.

It is an arithmetic number, because the mean of its divisors is an integer number (3800314980).

Almost surely, 2^{1313961099840} is an apocalyptic number.

1313961099840 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 1313961099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553811666560).

1313961099840 is an abundant number, since it is smaller than the sum of its proper divisors (3793662233280).

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

1313961099840 is a wasteful number, since it uses less digits than its factorization.

1313961099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1313961099840 in words is "one trillion, three hundred thirteen billion, nine hundred sixty-one million, ninety-nine thousand, eight hundred forty".