101513145205 has 8 divisors (see below), whose sum is σ = 121820384952. Its totient is φ = 81207442368.

The previous prime is 101513145157. The next prime is 101513145221. The reversal of 101513145205 is 502541315101.

It can be written as a sum of positive squares in 4 ways, for example, as 31858323121 + 69654822084 = 178489^2 + 263922^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101513145205 - 2¹⁷ = 101513014133 is a prime.

It is a super-2 number, since 2×101513145205² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233542 + ... + 507511.

It is an arithmetic number, because the mean of its divisors is an integer number (15227548119).

Almost surely, 2^101513145205 is an apocalyptic number.

It is an amenable number.

101513145205 is a deficient number, since it is larger than the sum of its proper divisors (20307239747).

101513145205 is an equidigital number, since it uses as much as digits as its factorization.

101513145205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768455.

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 101513145205 in words is "one hundred one billion, five hundred thirteen million, one hundred forty-five thousand, two hundred five".