120310001300 has 72 divisors (see below), whose sum is σ = 276566283000. Its totient is φ = 45270835200.

The previous prime is 120310001299. The next prime is 120310001303. The reversal of 120310001300 is 3100013021.

It can be written as a sum of positive squares in 12 ways, for example, as 22813685764 + 97496315536 = 151042^2 + 312244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120310001303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3657326 + ... + 3690074.

It is an arithmetic number, because the mean of its divisors is an integer number (3841198375).

Almost surely, 2^120310001300 is an apocalyptic number.

120310001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120310001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138283141500).

120310001300 is an abundant number, since it is smaller than the sum of its proper divisors (156256281700).

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

120310001300 is a wasteful number, since it uses less digits than its factorization.

120310001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34941 (or 34934 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 120310001300 its reverse (3100013021), we get a palindrome (123410014321).

The spelling of 120310001300 in words is "one hundred twenty billion, three hundred ten million, one thousand, three hundred".