2130311131300 has 288 divisors, whose sum is σ = 5357712584448. Its totient is φ = 727584000000.

The previous prime is 2130311131219. The next prime is 2130311131327. The reversal of 2130311131300 is 31311130312.

It is a super-2 number, since 2×2130311131300² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1637440650 + ... + 1637441950.

It is an arithmetic number, because the mean of its divisors is an integer number (18603168696).

Almost surely, 2^{2130311131300} is an apocalyptic number.

2130311131300 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 2130311131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678856292224).

2130311131300 is an abundant number, since it is smaller than the sum of its proper divisors (3227401453148).

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

2130311131300 is a wasteful number, since it uses less digits than its factorization.

2130311131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 2130311131300 its reverse (31311130312), we get a palindrome (2161622261612).

The spelling of 2130311131300 in words is "two trillion, one hundred thirty billion, three hundred eleven million, one hundred thirty-one thousand, three hundred".