101312310 has 64 divisors (see below), whose sum is σ = 266333184. Its totient is φ = 24460800.

The previous prime is 101312291. The next prime is 101312317. The reversal of 101312310 is 13213101.

It is a super-2 number, since 2×101312310² = 20528368315072200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110755 + ... + 111665.

It is an arithmetic number, because the mean of its divisors is an integer number (4161456).

Almost surely, 2^101312310 is an apocalyptic number.

101312310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101312310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133166592).

101312310 is an abundant number, since it is smaller than the sum of its proper divisors (165020874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101312310 is a wasteful number, since it uses less digits than its factorization.

101312310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101312310 is about 10065.4016313310. The cubic root of 101312310 is about 466.1804669816.

Adding to 101312310 its reverse (13213101), we get a palindrome (114525411).

The spelling of 101312310 in words is "one hundred one million, three hundred twelve thousand, three hundred ten".