2130313032100 has 288 divisors, whose sum is σ = 5387842656000. Its totient is φ = 722539315200.

The previous prime is 2130313032097. The next prime is 2130313032103. The reversal of 2130313032100 is 12303130312.

It is an interprime number because it is at equal distance from previous prime (2130313032097) and next prime (2130313032103).

It is a super-2 number, since 2×2130313032100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2130313032103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2293124436 + ... + 2293125364.

It is an arithmetic number, because the mean of its divisors is an integer number (18707787000).

Almost surely, 2^{2130313032100} is an apocalyptic number.

2130313032100 is a gapful number since it is divisible by the number (20) 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 2130313032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693921328000).

2130313032100 is an abundant number, since it is smaller than the sum of its proper divisors (3257529623900).

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

2130313032100 is a wasteful number, since it uses less digits than its factorization.

2130313032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2130313032100 its reverse (12303130312), we get a palindrome (2142616162412).

The spelling of 2130313032100 in words is "two trillion, one hundred thirty billion, three hundred thirteen million, thirty-two thousand, one hundred".