312130001100 has 288 divisors, whose sum is σ = 966088166400. Its totient is φ = 77534208000.

The previous prime is 312130001093. The next prime is 312130001101. The reversal of 312130001100 is 1100031213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (312130001101) 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, 276465336 + ... + 276466464.

It is an arithmetic number, because the mean of its divisors is an integer number (3354472800).

Almost surely, 2^312130001100 is an apocalyptic number.

312130001100 is a gapful number since it is divisible by the number (30) 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 312130001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483044083200).

312130001100 is an abundant number, since it is smaller than the sum of its proper divisors (653958165300).

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

312130001100 is a wasteful number, since it uses less digits than its factorization.

312130001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 312130001100 its reverse (1100031213), we get a palindrome (313230032313).

The spelling of 312130001100 in words is "three hundred twelve billion, one hundred thirty million, one thousand, one hundred".