3901919818213 has 16 divisors (see below), whose sum is σ = 4203258635520. Its totient is φ = 3608613376000.

The previous prime is 3901919818207. The next prime is 3901919818219. The reversal of 3901919818213 is 3128189191093.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3901919818207) and next prime (3901919818219).

It is a cyclic number.

It is not a de Polignac number, because 3901919818213 - 2³⁷ = 3764480864741 is a prime.

It is a super-3 number, since 3×3901919818213³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3901919818219) 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 15 ways as a sum of consecutive naturals, for example, 1530693 + ... + 3185413.

It is an arithmetic number, because the mean of its divisors is an integer number (262703664720).

Almost surely, 2^{3901919818213} is an apocalyptic number.

It is an amenable number.

3901919818213 is a deficient number, since it is larger than the sum of its proper divisors (301338817307).

3901919818213 is a wasteful number, since it uses less digits than its factorization.

3901919818213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657148.

The product of its (nonzero) digits is 839808, while the sum is 55.

The spelling of 3901919818213 in words is "three trillion, nine hundred one billion, nine hundred nineteen million, eight hundred eighteen thousand, two hundred thirteen".