153213001233137 has 2 divisors, whose sum is σ = 153213001233138. Its totient is φ = 153213001233136.

The previous prime is 153213001233109. The next prime is 153213001233197. The reversal of 153213001233137 is 731332100312351.

153213001233137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151890860008801 + 1322141224336 = 12324401^2 + 1149844^2 .

It is an emirp because it is prime and its reverse (731332100312351) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 153213001233137 - 2¹⁶ = 153213001167601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 153213001233097 and 153213001233106.

It is not a weakly prime, because it can be changed into another prime (153213001233107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76606500616568 + 76606500616569.

It is an arithmetic number, because the mean of its divisors is an integer number (76606500616569).

Almost surely, 2^{153213001233137} is an apocalyptic number.

It is an amenable number.

153213001233137 is a deficient number, since it is larger than the sum of its proper divisors (1).

153213001233137 is an equidigital number, since it uses as much as digits as its factorization.

153213001233137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 35.

Adding to 153213001233137 its reverse (731332100312351), we get a palindrome (884545101545488).

The spelling of 153213001233137 in words is "one hundred fifty-three trillion, two hundred thirteen billion, one million, two hundred thirty-three thousand, one hundred thirty-seven".