101331123120207 has 24 divisors (see below), whose sum is σ = 146593890608880. Its totient is φ = 67449451870080.

The previous prime is 101331123120173. The next prime is 101331123120257. The reversal of 101331123120207 is 702021321133101.

101331123120207 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 311 + 23 + 120 + 207 = 666.

101331123120207 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101331123120207 - 2¹⁹ = 101331122595919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331123120257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201171153 + ... + 201674229.

It is an arithmetic number, because the mean of its divisors is an integer number (6108078775370).

Almost surely, 2^{101331123120207} is an apocalyptic number.

101331123120207 is a deficient number, since it is larger than the sum of its proper divisors (45262767488673).

101331123120207 is a wasteful number, since it uses less digits than its factorization.

101331123120207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537703 (or 537700 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 101331123120207 its reverse (702021321133101), we get a palindrome (803352444253308).

The spelling of 101331123120207 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-three million, one hundred twenty thousand, two hundred seven".