312121000153 has 2 divisors, whose sum is σ = 312121000154. Its totient is φ = 312121000152.

The previous prime is 312120999961. The next prime is 312121000157. The reversal of 312121000153 is 351000121213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289533314889 + 22587685264 = 538083^2 + 150292^2 .

It is a cyclic number.

It is not a de Polignac number, because 312121000153 - 2²⁵ = 312087445721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312121000153.

It is not a weakly prime, because it can be changed into another prime (312121000157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156060500076 + 156060500077.

It is an arithmetic number, because the mean of its divisors is an integer number (156060500077).

Almost surely, 2^312121000153 is an apocalyptic number.

It is an amenable number.

312121000153 is a deficient number, since it is larger than the sum of its proper divisors (1).

312121000153 is an equidigital number, since it uses as much as digits as its factorization.

312121000153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 312121000153 its reverse (351000121213), we get a palindrome (663121121366).

The spelling of 312121000153 in words is "three hundred twelve billion, one hundred twenty-one million, one hundred fifty-three", and thus it is an aban number.