34320125133301 has 16 divisors (see below), whose sum is σ = 40525916744448. Its totient is φ = 28455697670400.

The previous prime is 34320125133293. The next prime is 34320125133317. The reversal of 34320125133301 is 10333152102343.

It is a happy number.

It is not a de Polignac number, because 34320125133301 - 2³ = 34320125133293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34320125133001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651431940 + ... + 651484621.

It is an arithmetic number, because the mean of its divisors is an integer number (2532869796528).

Almost surely, 2^{34320125133301} is an apocalyptic number.

It is an amenable number.

34320125133301 is a deficient number, since it is larger than the sum of its proper divisors (6205791611147).

34320125133301 is a wasteful number, since it uses less digits than its factorization.

34320125133301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302916692.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 34320125133301 its reverse (10333152102343), we get a palindrome (44653277235644).

The spelling of 34320125133301 in words is "thirty-four trillion, three hundred twenty billion, one hundred twenty-five million, one hundred thirty-three thousand, three hundred one".