10101311023357 has 2 divisors, whose sum is σ = 10101311023358. Its totient is φ = 10101311023356.

The previous prime is 10101311023319. The next prime is 10101311023361. The reversal of 10101311023357 is 75332011310101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7414108168996 + 2687202854361 = 2722886^2 + 1639269^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101311023357 - 2²³ = 10101302634749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101311023757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050655511678 + 5050655511679.

It is an arithmetic number, because the mean of its divisors is an integer number (5050655511679).

Almost surely, 2^{10101311023357} is an apocalyptic number.

It is an amenable number.

10101311023357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101311023357 is an equidigital number, since it uses as much as digits as its factorization.

10101311023357 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 28.

Adding to 10101311023357 its reverse (75332011310101), we get a palindrome (85433322333458).

The spelling of 10101311023357 in words is "ten trillion, one hundred one billion, three hundred eleven million, twenty-three thousand, three hundred fifty-seven".