101133164088 has 64 divisors (see below), whose sum is σ = 306464140800. Its totient is φ = 30646412640.

The previous prime is 101133164087. The next prime is 101133164141. The reversal of 101133164088 is 880461331101.

101133164088 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 3 + 1 + 640 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133164087) 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, 21279856 + ... + 21284607.

It is an arithmetic number, because the mean of its divisors is an integer number (4788502200).

Almost surely, 2^101133164088 is an apocalyptic number.

101133164088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101133164088 is an abundant number, since it is smaller than the sum of its proper divisors (205330976712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101133164088 is a wasteful number, since it uses less digits than its factorization.

101133164088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42564489 (or 42564479 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 101133164088 its reverse (880461331101), we get a palindrome (981594495189).

The spelling of 101133164088 in words is "one hundred one billion, one hundred thirty-three million, one hundred sixty-four thousand, eighty-eight".