10131102311357 has 2 divisors, whose sum is σ = 10131102311358. Its totient is φ = 10131102311356.

The previous prime is 10131102311303. The next prime is 10131102311381. The reversal of 10131102311357 is 75311320113101.

10131102311357 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., 5795820317401 + 4335281993956 = 2407451^2 + 2082134^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131102311357 - 2¹⁶ = 10131102245821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131102311657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065551155678 + 5065551155679.

It is an arithmetic number, because the mean of its divisors is an integer number (5065551155679).

Almost surely, 2^{10131102311357} is an apocalyptic number.

It is an amenable number.

10131102311357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131102311357 is an equidigital number, since it uses as much as digits as its factorization.

10131102311357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 29.

Adding to 10131102311357 its reverse (75311320113101), we get a palindrome (85442422424458).

The spelling of 10131102311357 in words is "ten trillion, one hundred thirty-one billion, one hundred two million, three hundred eleven thousand, three hundred fifty-seven".