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313130023201 is a prime number
BaseRepresentation
bin1001000111010000000…
…00001111100100100001
31002221020120101022111201
410203220000033210201
520112242241220301
6355503331041201
731423440165352
oct4435000174441
91087216338451
10313130023201
1111088580a046
125082a740201
13236b31267c8
1411226c75d29
15822a246201
hex48e800f921

313130023201 has 2 divisors, whose sum is σ = 313130023202. Its totient is φ = 313130023200.

The previous prime is 313130023169. The next prime is 313130023273. The reversal of 313130023201 is 102320031313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306610268176 + 6519755025 = 553724^2 + 80745^2 .

It is an emirp because it is prime and its reverse (102320031313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313130023201 - 25 = 313130023169 is a prime.

It is a super-2 number, since 2×3131300232012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313130023501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156565011600 + 156565011601.

It is an arithmetic number, because the mean of its divisors is an integer number (156565011601).

Almost surely, 2313130023201 is an apocalyptic number.

It is an amenable number.

313130023201 is a deficient number, since it is larger than the sum of its proper divisors (1).

313130023201 is an equidigital number, since it uses as much as digits as its factorization.

313130023201 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.

Adding to 313130023201 its reverse (102320031313), we get a palindrome (415450054514).

The spelling of 313130023201 in words is "three hundred thirteen billion, one hundred thirty million, twenty-three thousand, two hundred one".