31234304314001 has 2 divisors, whose sum is σ = 31234304314002. Its totient is φ = 31234304314000.

The previous prime is 31234304313977. The next prime is 31234304314009. The reversal of 31234304314001 is 10041340343213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29606396262976 + 1627908051025 = 5441176^2 + 1275895^2 .

It is a cyclic number.

It is not a de Polignac number, because 31234304314001 - 2¹⁴ = 31234304297617 is a prime.

It is not a weakly prime, because it can be changed into another prime (31234304314009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15617152157000 + 15617152157001.

It is an arithmetic number, because the mean of its divisors is an integer number (15617152157001).

Almost surely, 2^{31234304314001} is an apocalyptic number.

It is an amenable number.

31234304314001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31234304314001 is an equidigital number, since it uses as much as digits as its factorization.

31234304314001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 31234304314001 its reverse (10041340343213), we get a palindrome (41275644657214).

The spelling of 31234304314001 in words is "thirty-one trillion, two hundred thirty-four billion, three hundred four million, three hundred fourteen thousand, one".