30031133123013 has 64 divisors (see below), whose sum is σ = 46144742031360. Its totient is φ = 17194820544000.

The previous prime is 30031133122973. The next prime is 30031133123041. The reversal of 30031133123013 is 31032133113003.

It is not a de Polignac number, because 30031133123013 - 2²⁸ = 30030864687557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30031133123213) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 30874620 + ... + 31832442.

It is an arithmetic number, because the mean of its divisors is an integer number (721011594240).

Almost surely, 2^{30031133123013} is an apocalyptic number.

30031133123013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

30031133123013 is a deficient number, since it is larger than the sum of its proper divisors (16113608908347).

30031133123013 is a wasteful number, since it uses less digits than its factorization.

30031133123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958370.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 30031133123013 its reverse (31032133113003), we get a palindrome (61063266236016).

The spelling of 30031133123013 in words is "thirty trillion, thirty-one billion, one hundred thirty-three million, one hundred twenty-three thousand, thirteen".