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31032123013 is a prime number
BaseRepresentation
bin11100111001101010…
…001001111010000101
32222002200102011222101
4130321222021322011
51002023210414023
622131142032101
72146001456563
oct347152117205
988080364871
1031032123013
1112184908361
126020718631
132c0716b688
141705558a33
15c195531ad
hex739a89e85

31032123013 has 2 divisors, whose sum is σ = 31032123014. Its totient is φ = 31032123012.

The previous prime is 31032122981. The next prime is 31032123047.

31032123013 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19385828289 + 11646294724 = 139233^2 + 107918^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 31032123013 - 25 = 31032122981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31032123053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15516061506 + 15516061507.

It is an arithmetic number, because the mean of its divisors is an integer number (15516061507).

Almost surely, 231032123013 is an apocalyptic number.

It is an amenable number.

31032123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31032123013 is an equidigital number, since it uses as much as digits as its factorization.

31032123013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

The spelling of 31032123013 in words is "thirty-one billion, thirty-two million, one hundred twenty-three thousand, thirteen".