101121413 has 2 divisors, whose sum is σ = 101121414. Its totient is φ = 101121412.

The previous prime is 101121367. The next prime is 101121421. The reversal of 101121413 is 314121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99640324 + 1481089 = 9982^2 + 1217^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121413 - 2¹⁰ = 101120389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560706 + 50560707.

It is an arithmetic number, because the mean of its divisors is an integer number (50560707).

Almost surely, 2^101121413 is an apocalyptic number.

It is an amenable number.

101121413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121413 is an equidigital number, since it uses as much as digits as its factorization.

101121413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 101121413 is about 10055.9143293885. The cubic root of 101121413 is about 465.8874838102.

Adding to 101121413 its reverse (314121101), we get a palindrome (415242514).

The spelling of 101121413 in words is "one hundred one million, one hundred twenty-one thousand, four hundred thirteen".