1000123301331 has 120 divisors (see below), whose sum is σ = 1978358874624. Its totient is φ = 496955178720.

The previous prime is 1000123301299. The next prime is 1000123301347. The reversal of 1000123301331 is 1331033210001.

It is a happy number.

1000123301331 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 2 + 330 + 1 + 331 = 666.

It is not a de Polignac number, because 1000123301331 - 2⁵ = 1000123301299 is a prime.

It is a super-2 number, since 2×1000123301331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000123301731) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 506166 + ... + 1502148.

Almost surely, 2^{1000123301331} is an apocalyptic number.

1000123301331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000123301331 is a deficient number, since it is larger than the sum of its proper divisors (978235573293).

1000123301331 is a wasteful number, since it uses less digits than its factorization.

1000123301331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996043 (or 996027 counting only the distinct ones).

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

Adding to 1000123301331 its reverse (1331033210001), we get a palindrome (2331156511332).

It can be divided in two parts, 10001 and 23301331, that added together give a palindrome (23311332).

The spelling of 1000123301331 in words is "one trillion, one hundred twenty-three million, three hundred one thousand, three hundred thirty-one".