101131211323001 has 16 divisors (see below), whose sum is σ = 104665361673600. Its totient is φ = 97600195300608.

The previous prime is 101131211322989. The next prime is 101131211323033. The reversal of 101131211323001 is 100323112131101.

It is a cyclic number.

It is not a de Polignac number, because 101131211323001 - 2¹⁰ = 101131211321977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101131211323061) 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, 606913985 + ... + 607080593.

It is an arithmetic number, because the mean of its divisors is an integer number (6541585104600).

Almost surely, 2^{101131211323001} is an apocalyptic number.

It is an amenable number.

101131211323001 is a deficient number, since it is larger than the sum of its proper divisors (3534150350599).

101131211323001 is a wasteful number, since it uses less digits than its factorization.

101131211323001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175888.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101131211323001 its reverse (100323112131101), we get a palindrome (201454323454102).

The spelling of 101131211323001 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred eleven million, three hundred twenty-three thousand, one".