1233131000101 has 64 divisors (see below), whose sum is σ = 1759736918016. Its totient is φ = 831615667200.

The previous prime is 1233131000093. The next prime is 1233131000149. The reversal of 1233131000101 is 1010001313321.

It is a cyclic number.

It is not a de Polignac number, because 1233131000101 - 2³ = 1233131000093 is a prime.

It is a super-2 number, since 2×1233131000101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233131000201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4337706 + ... + 4613236.

It is an arithmetic number, because the mean of its divisors is an integer number (27495889344).

Almost surely, 2^{1233131000101} is an apocalyptic number.

1233131000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1233131000101 is a deficient number, since it is larger than the sum of its proper divisors (526605917915).

1233131000101 is a wasteful number, since it uses less digits than its factorization.

1233131000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275842.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1233131000101 its reverse (1010001313321), we get a palindrome (2243132313422).

The spelling of 1233131000101 in words is "one trillion, two hundred thirty-three billion, one hundred thirty-one million, one hundred one", and thus it is an aban number.