1000312133323 has 16 divisors (see below), whose sum is σ = 1088087203840. Its totient is φ = 916115054400.

The previous prime is 1000312133311. The next prime is 1000312133329. The reversal of 1000312133323 is 3233312130001.

It is a cyclic number.

It is not a de Polignac number, because 1000312133323 - 2²⁹ = 999775262411 is a prime.

It is a super-2 number, since 2×1000312133323² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000312133294 and 1000312133303.

It is not an unprimeable number, because it can be changed into a prime (1000312133329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354363 + ... + 1458148.

It is an arithmetic number, because the mean of its divisors is an integer number (68005450240).

Almost surely, 2^{1000312133323} is an apocalyptic number.

1000312133323 is a deficient number, since it is larger than the sum of its proper divisors (87775070517).

1000312133323 is a wasteful number, since it uses less digits than its factorization.

1000312133323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813498.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1000312133323 its reverse (3233312130001), we get a palindrome (4233624263324).

The spelling of 1000312133323 in words is "one trillion, three hundred twelve million, one hundred thirty-three thousand, three hundred twenty-three".