101361321 has 16 divisors (see below), whose sum is σ = 152629120. Its totient is φ = 66465360.

The previous prime is 101361313. The next prime is 101361329. The reversal of 101361321 is 123163101.

It is an interprime number because it is at equal distance from previous prime (101361313) and next prime (101361329).

It is not a de Polignac number, because 101361321 - 2³ = 101361313 is a prime.

It is a super-3 number, since 3×101361321³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101361294 and 101361303.

It is not an unprimeable number, because it can be changed into a prime (101361329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29125 + ... + 32418.

It is an arithmetic number, because the mean of its divisors is an integer number (9539320).

Almost surely, 2^101361321 is an apocalyptic number.

It is an amenable number.

101361321 is a deficient number, since it is larger than the sum of its proper divisors (51267799).

101361321 is an equidigital number, since it uses as much as digits as its factorization.

101361321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61613 (or 61607 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101361321 is about 10067.8359640987. The cubic root of 101361321 is about 466.2556282578.

The spelling of 101361321 in words is "one hundred one million, three hundred sixty-one thousand, three hundred twenty-one".