1013312001330 has 48 divisors (see below), whose sum is σ = 2635472622744. Its totient is φ = 270128183040.

The previous prime is 1013312001319. The next prime is 1013312001337. The reversal of 1013312001330 is 331002133101.

It is a happy number.

1013312001330 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 2 + 0 + 0 + 1 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 995431230369 + 17880770961 = 997713^2 + 133719^2 .

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 (1013312001337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1563619 + ... + 2114598.

Almost surely, 2^{1013312001330} is an apocalyptic number.

1013312001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013312001330 is an abundant number, since it is smaller than the sum of its proper divisors (1622160621414).

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

1013312001330 is a wasteful number, since it uses less digits than its factorization.

1013312001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681291 (or 3681288 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1013312001330 its reverse (331002133101), we get a palindrome (1344314134431).

The spelling of 1013312001330 in words is "one trillion, thirteen billion, three hundred twelve million, one thousand, three hundred thirty".