103213013130 has 192 divisors, whose sum is σ = 290971699200. Its totient is φ = 26274321216.

The previous prime is 103213013129. The next prime is 103213013201. The reversal of 103213013130 is 31310312301.

It is a happy number.

103213013130 is a `hidden beast` number, since 1 + 0 + 321 + 30 + 1 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33476569 + ... + 33479651.

It is an arithmetic number, because the mean of its divisors is an integer number (1515477600).

Almost surely, 2^103213013130 is an apocalyptic number.

103213013130 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 103213013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145485849600).

103213013130 is an abundant number, since it is smaller than the sum of its proper divisors (187758686070).

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

103213013130 is a wasteful number, since it uses less digits than its factorization.

103213013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103213013130 its reverse (31310312301), we get a palindrome (134523325431).

The spelling of 103213013130 in words is "one hundred three billion, two hundred thirteen million, thirteen thousand, one hundred thirty".