101628913 has 2 divisors, whose sum is σ = 101628914. Its totient is φ = 101628912.

The previous prime is 101628911. The next prime is 101628949. The reversal of 101628913 is 319826101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89434849 + 12194064 = 9457^2 + 3492^2 .

It is a cyclic number.

It is not a de Polignac number, because 101628913 - 2¹ = 101628911 is a prime.

Together with 101628911, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101628911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50814456 + 50814457.

It is an arithmetic number, because the mean of its divisors is an integer number (50814457).

Almost surely, 2^101628913 is an apocalyptic number.

It is an amenable number.

101628913 is a deficient number, since it is larger than the sum of its proper divisors (1).

101628913 is an equidigital number, since it uses as much as digits as its factorization.

101628913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 101628913 is about 10081.1166544188. The cubic root of 101628913 is about 466.6655697820.

It can be divided in two parts, 1016 and 28913, that added together give a square (29929 = 173²).

The spelling of 101628913 in words is "one hundred one million, six hundred twenty-eight thousand, nine hundred thirteen".