10131101212313 has 2 divisors, whose sum is σ = 10131101212314. Its totient is φ = 10131101212312.

The previous prime is 10131101212277. The next prime is 10131101212319. The reversal of 10131101212313 is 31321210113101.

10131101212313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10095127262089 + 35973950224 = 3177283^2 + 189668^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131101212313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131101212319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065550606156 + 5065550606157.

It is an arithmetic number, because the mean of its divisors is an integer number (5065550606157).

Almost surely, 2^{10131101212313} is an apocalyptic number.

It is an amenable number.

10131101212313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131101212313 is an equidigital number, since it uses as much as digits as its factorization.

10131101212313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10131101212313 its reverse (31321210113101), we get a palindrome (41452311325414).

The spelling of 10131101212313 in words is "ten trillion, one hundred thirty-one billion, one hundred one million, two hundred twelve thousand, three hundred thirteen".