3331133114101 has 48 divisors (see below), whose sum is σ = 3812415517440. Its totient is φ = 2901198643200.

The previous prime is 3331133114083. The next prime is 3331133114131. The reversal of 3331133114101 is 1014113311333.

It is not a de Polignac number, because 3331133114101 - 2¹¹ = 3331133112053 is a prime.

It is a super-2 number, since 2×3331133114101² (a number of 26 digits) contains 22 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 (3331133114131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1361311860 + ... + 1361314306.

It is an arithmetic number, because the mean of its divisors is an integer number (79425323280).

Almost surely, 2^{3331133114101} is an apocalyptic number.

It is an amenable number.

3331133114101 is a deficient number, since it is larger than the sum of its proper divisors (481282403339).

3331133114101 is a wasteful number, since it uses less digits than its factorization.

3331133114101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 3331133114101 its reverse (1014113311333), we get a palindrome (4345246425434).

The spelling of 3331133114101 in words is "three trillion, three hundred thirty-one billion, one hundred thirty-three million, one hundred fourteen thousand, one hundred one".