101233626133 has 32 divisors (see below), whose sum is σ = 107746394112. Its totient is φ = 94968288000.

The previous prime is 101233626107. The next prime is 101233626139. The reversal of 101233626133 is 331626332101.

It is a cyclic number.

It is not a de Polignac number, because 101233626133 - 2¹³ = 101233617941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101233626095 and 101233626104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101233626139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95233360 + ... + 95234422.

It is an arithmetic number, because the mean of its divisors is an integer number (3367074816).

Almost surely, 2^101233626133 is an apocalyptic number.

It is an amenable number.

101233626133 is a deficient number, since it is larger than the sum of its proper divisors (6512767979).

101233626133 is a wasteful number, since it uses less digits than its factorization.

101233626133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705.

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 101233626133 its reverse (331626332101), we get a palindrome (432859958234).

The spelling of 101233626133 in words is "one hundred one billion, two hundred thirty-three million, six hundred twenty-six thousand, one hundred thirty-three".