101113121357 has 2 divisors, whose sum is σ = 101113121358. Its totient is φ = 101113121356.

The previous prime is 101113121309. The next prime is 101113121393. The reversal of 101113121357 is 753121311101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87052142116 + 14060979241 = 295046^2 + 118579^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113121357 - 2⁶ = 101113121293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101113123357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556560678 + 50556560679.

It is an arithmetic number, because the mean of its divisors is an integer number (50556560679).

Almost surely, 2^101113121357 is an apocalyptic number.

It is an amenable number.

101113121357 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113121357 is an equidigital number, since it uses as much as digits as its factorization.

101113121357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 26.

Adding to 101113121357 its reverse (753121311101), we get a palindrome (854234432458).

The spelling of 101113121357 in words is "one hundred one billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred fifty-seven".