101013123307 has 2 divisors, whose sum is σ = 101013123308. Its totient is φ = 101013123306.

The previous prime is 101013123251. The next prime is 101013123313. The reversal of 101013123307 is 703321310101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101013123307 - 2¹⁵ = 101013090539 is a prime.

It is not a weakly prime, because it can be changed into another prime (101013123317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506561653 + 50506561654.

It is an arithmetic number, because the mean of its divisors is an integer number (50506561654).

Almost surely, 2^101013123307 is an apocalyptic number.

101013123307 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013123307 is an equidigital number, since it uses as much as digits as its factorization.

101013123307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 101013123307 its reverse (703321310101), we get a palindrome (804334433408).

The spelling of 101013123307 in words is "one hundred one billion, thirteen million, one hundred twenty-three thousand, three hundred seven".