101314442130 has 128 divisors (see below), whose sum is σ = 267768115200. Its totient is φ = 24329894400.

The previous prime is 101314442113. The next prime is 101314442143. The reversal of 101314442130 is 31244413101.

It is a super-2 number, since 2×101314442130² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101314442130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16004806 + ... + 16011134.

It is an arithmetic number, because the mean of its divisors is an integer number (2091938400).

Almost surely, 2^101314442130 is an apocalyptic number.

101314442130 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 101314442130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133884057600).

101314442130 is an abundant number, since it is smaller than the sum of its proper divisors (166453673070).

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

101314442130 is a wasteful number, since it uses less digits than its factorization.

101314442130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101314442130 its reverse (31244413101), we get a palindrome (132558855231).

The spelling of 101314442130 in words is "one hundred one billion, three hundred fourteen million, four hundred forty-two thousand, one hundred thirty".