10101120313331 has 16 divisors (see below), whose sum is σ = 10724323386240. Its totient is φ = 9481145385600.

The previous prime is 10101120313321. The next prime is 10101120313373. The reversal of 10101120313331 is 13331302110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101120313331 is a prime.

It is a super-2 number, since 2×10101120313331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101120313321) 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, 99500060 + ... + 99601526.

It is an arithmetic number, because the mean of its divisors is an integer number (670270211640).

Almost surely, 2^{10101120313331} is an apocalyptic number.

10101120313331 is a deficient number, since it is larger than the sum of its proper divisors (623203072909).

10101120313331 is a wasteful number, since it uses less digits than its factorization.

10101120313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117314.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10101120313331 its reverse (13331302110101), we get a palindrome (23432422423432).

The spelling of 10101120313331 in words is "ten trillion, one hundred one billion, one hundred twenty million, three hundred thirteen thousand, three hundred thirty-one".