130032003312331 has 16 divisors (see below), whose sum is σ = 132021914754880. Its totient is φ = 128047891530240.

The previous prime is 130032003312301. The next prime is 130032003312349. The reversal of 130032003312331 is 133213300230031.

It is a cyclic number.

It is not a de Polignac number, because 130032003312331 - 2⁷ = 130032003312203 is a prime.

It is a super-2 number, since 2×130032003312331² (a number of 29 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 = 130032003312296 and 130032003312305.

It is not an unprimeable number, because it can be changed into a prime (130032003312301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116417410 + ... + 117529048.

It is an arithmetic number, because the mean of its divisors is an integer number (8251369672180).

Almost surely, 2^{130032003312331} is an apocalyptic number.

130032003312331 is a deficient number, since it is larger than the sum of its proper divisors (1989911442549).

130032003312331 is a wasteful number, since it uses less digits than its factorization.

130032003312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114246.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 130032003312331 its reverse (133213300230031), we get a palindrome (263245303542362).

The spelling of 130032003312331 in words is "one hundred thirty trillion, thirty-two billion, three million, three hundred twelve thousand, three hundred thirty-one".