1002312333121 has 24 divisors (see below), whose sum is σ = 1104467035392. Its totient is φ = 909603163920.

The previous prime is 1002312333107. The next prime is 1002312333199. The reversal of 1002312333121 is 1213332132001.

It is not a de Polignac number, because 1002312333121 - 2²³ = 1002303944513 is a prime.

It is a super-3 number, since 3×1002312333121³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002312333092 and 1002312333101.

It is not an unprimeable number, because it can be changed into a prime (1002312330121) 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, 97752831 + ... + 97763083.

It is an arithmetic number, because the mean of its divisors is an integer number (46019459808).

Almost surely, 2^{1002312333121} is an apocalyptic number.

1002312333121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002312333121 is a deficient number, since it is larger than the sum of its proper divisors (102154702271).

1002312333121 is an frugal number, since it uses more digits than its factorization.

1002312333121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10915 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1002312333121 its reverse (1213332132001), we get a palindrome (2215644465122).

The spelling of 1002312333121 in words is "one trillion, two billion, three hundred twelve million, three hundred thirty-three thousand, one hundred twenty-one".