101313030 has 256 divisors, whose sum is σ = 330946560. Its totient is φ = 19243008.

The previous prime is 101313029. The next prime is 101313071. The reversal of 101313030 is 30313101.

It is a junction number, because it is equal to n+sod(n) for n = 101312997 and 101313015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1717141 + ... + 1717199.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^101313030 is an apocalyptic number.

101313030 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 101313030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

101313030 is an abundant number, since it is smaller than the sum of its proper divisors (229633530).

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

101313030 is a wasteful number, since it uses less digits than its factorization.

101313030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 101313030 is about 10065.4373973514. The cubic root of 101313030 is about 466.1815713198.

Adding to 101313030 its reverse (30313101), we get a palindrome (131626131).

The spelling of 101313030 in words is "one hundred one million, three hundred thirteen thousand, thirty".