101606428013 has 2 divisors, whose sum is σ = 101606428014. Its totient is φ = 101606428012.

The previous prime is 101606427961. The next prime is 101606428069. The reversal of 101606428013 is 310824606101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78982357444 + 22624070569 = 281038^2 + 150413^2 .

It is an emirp because it is prime and its reverse (310824606101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101606428013 - 2¹⁰ = 101606426989 is a prime.

It is a super-2 number, since 2×101606428013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101606422013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50803214006 + 50803214007.

It is an arithmetic number, because the mean of its divisors is an integer number (50803214007).

Almost surely, 2^101606428013 is an apocalyptic number.

It is an amenable number.

101606428013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101606428013 is an equidigital number, since it uses as much as digits as its factorization.

101606428013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 101606428013 in words is "one hundred one billion, six hundred six million, four hundred twenty-eight thousand, thirteen".