312201121331100 has 72 divisors (see below), whose sum is σ = 903464292640000. Its totient is φ = 83238666310080.

The previous prime is 312201121331063. The next prime is 312201121331137. The reversal of 312201121331100 is 1133121102213.

It is an interprime number because it is at equal distance from previous prime (312201121331063) and next prime (312201121331137).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91866100 + ... + 95203899.

Almost surely, 2^{312201121331100} is an apocalyptic number.

312201121331100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312201121331100 is an abundant number, since it is smaller than the sum of its proper divisors (591263171308900).

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

312201121331100 is a wasteful number, since it uses less digits than its factorization.

312201121331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187075579 (or 187075572 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 312201121331100 its reverse (1133121102213), we get a palindrome (313334242433313).

The spelling of 312201121331100 in words is "three hundred twelve trillion, two hundred one billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred".