1313330103000 has 192 divisors, whose sum is σ = 4672690869600. Its totient is φ = 331788614400.

The previous prime is 1313330102989. The next prime is 1313330103023. The reversal of 1313330103000 is 3010333131.

1313330103000 is a `hidden beast` number, since 1 + 31 + 3 + 330 + 1 + 0 + 300 + 0 = 666.

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

It is a congruent number.

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, 3669147 + ... + 4011146.

Almost surely, 2^{1313330103000} is an apocalyptic number.

1313330103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313330103000 is an abundant number, since it is smaller than the sum of its proper divisors (3359360766600).

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

1313330103000 is a wasteful number, since it uses less digits than its factorization.

1313330103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680339 (or 7680322 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 1313330103000 its reverse (3010333131), we get a palindrome (1316340436131).

The spelling of 1313330103000 in words is "one trillion, three hundred thirteen billion, three hundred thirty million, one hundred three thousand".