3420152123313 has 64 divisors (see below), whose sum is σ = 4809324441600. Its totient is φ = 2157820777728.

The previous prime is 3420152123303. The next prime is 3420152123317. The reversal of 3420152123313 is 3133212510243.

3420152123313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3420152123313 - 2⁵ = 3420152123281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3420152123317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3045548970 + ... + 3045550092.

It is an arithmetic number, because the mean of its divisors is an integer number (75145694400).

Almost surely, 2^{3420152123313} is an apocalyptic number.

It is an amenable number.

3420152123313 is a deficient number, since it is larger than the sum of its proper divisors (1389172318287).

3420152123313 is a wasteful number, since it uses less digits than its factorization.

3420152123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 3420152123313 its reverse (3133212510243), we get a palindrome (6553364633556).

The spelling of 3420152123313 in words is "three trillion, four hundred twenty billion, one hundred fifty-two million, one hundred twenty-three thousand, three hundred thirteen".