1313007038208 has 144 divisors (see below), whose sum is σ = 3883420128000. Its totient is φ = 437598305280.

The previous prime is 1313007038173. The next prime is 1313007038237. The reversal of 1313007038208 is 8028307003131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59425243 + ... + 59447333.

Almost surely, 2^{1313007038208} is an apocalyptic number.

1313007038208 is a gapful number since it is divisible by the number (18) 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 1313007038208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941710064000).

1313007038208 is an abundant number, since it is smaller than the sum of its proper divisors (2570413089792).

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

1313007038208 is an equidigital number, since it uses as much as digits as its factorization.

1313007038208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30715 (or 30695 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1313007038208 in words is "one trillion, three hundred thirteen billion, seven million, thirty-eight thousand, two hundred eight".