101013307 has 2 divisors, whose sum is σ = 101013308. Its totient is φ = 101013306.

The previous prime is 101013281. The next prime is 101013317. The reversal of 101013307 is 703310101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101013307 - 2⁷ = 101013179 is a prime.

It is a super-3 number, since 3×101013307³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101013317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506653 + 50506654.

It is an arithmetic number, because the mean of its divisors is an integer number (50506654).

Almost surely, 2^101013307 is an apocalyptic number.

101013307 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013307 is an equidigital number, since it uses as much as digits as its factorization.

101013307 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 101013307 is about 10050.5376473102. The cubic root of 101013307 is about 465.7214022999.

Adding to 101013307 its reverse (703310101), we get a palindrome (804323408).

The spelling of 101013307 in words is "one hundred one million, thirteen thousand, three hundred seven".