101013013322231 has 16 divisors (see below), whose sum is σ = 104544978531840. Its totient is φ = 97484303320320.

The previous prime is 101013013322213. The next prime is 101013013322269. The reversal of 101013013322231 is 132223310310101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101013013322231 is a prime.

It is a super-3 number, since 3×101013013322231³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101013013322197 and 101013013322206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013013327231) 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, 1820452970 + ... + 1820508456.

It is an arithmetic number, because the mean of its divisors is an integer number (6534061158240).

Almost surely, 2^{101013013322231} is an apocalyptic number.

101013013322231 is a deficient number, since it is larger than the sum of its proper divisors (3531965209609).

101013013322231 is a wasteful number, since it uses less digits than its factorization.

101013013322231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83674.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101013013322231 its reverse (132223310310101), we get a palindrome (233236323632332).

The spelling of 101013013322231 in words is "one hundred one trillion, thirteen billion, thirteen million, three hundred twenty-two thousand, two hundred thirty-one".