101412013 has 2 divisors, whose sum is σ = 101412014. Its totient is φ = 101412012.

The previous prime is 101411957. The next prime is 101412019. The reversal of 101412013 is 310214101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58339044 + 43072969 = 7638^2 + 6563^2 .

It is an emirp because it is prime and its reverse (310214101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101412013 - 2¹⁷ = 101280941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101411984 and 101412002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101412019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50706006 + 50706007.

It is an arithmetic number, because the mean of its divisors is an integer number (50706007).

Almost surely, 2^101412013 is an apocalyptic number.

It is an amenable number.

101412013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101412013 is an equidigital number, since it uses as much as digits as its factorization.

101412013 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 13.

The square root of 101412013 is about 10070.3531715626. The cubic root of 101412013 is about 466.3333419624. Note that the first 4 decimals are identical.

Adding to 101412013 its reverse (310214101), we get a palindrome (411626114).

The spelling of 101412013 in words is "one hundred one million, four hundred twelve thousand, thirteen".