1233130313000 has 32 divisors (see below), whose sum is σ = 2885524934760. Its totient is φ = 493252124800.

The previous prime is 1233130312979. The next prime is 1233130313011. The reversal of 1233130313000 is 3130313321.

It can be written as a sum of positive squares in 4 ways, for example, as 46760602564 + 1186369710436 = 216242^2 + 1089206^2 .

It is a super-2 number, since 2×1233130313000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616564157 + ... + 616566156.

Almost surely, 2^{1233130313000} is an apocalyptic number.

1233130313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233130313000 is an abundant number, since it is smaller than the sum of its proper divisors (1652394621760).

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

1233130313000 is a wasteful number, since it uses less digits than its factorization.

1233130313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233130334 (or 1233130320 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1233130313000 its reverse (3130313321), we get a palindrome (1236260626321).

The spelling of 1233130313000 in words is "one trillion, two hundred thirty-three billion, one hundred thirty million, three hundred thirteen thousand".