31101133101 has 32 divisors (see below), whose sum is σ = 42965583360. Its totient is φ = 20002161600.

The previous prime is 31101133057. The next prime is 31101133121. The reversal of 31101133101 is 10133110113.

It is not a de Polignac number, because 31101133101 - 2¹¹ = 31101131053 is a prime.

It is a super-2 number, since 2×31101133101² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31101133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2103906 + ... + 2118636.

It is an arithmetic number, because the mean of its divisors is an integer number (1342674480).

Almost surely, 2^31101133101 is an apocalyptic number.

It is an amenable number.

31101133101 is a deficient number, since it is larger than the sum of its proper divisors (11864450259).

31101133101 is a wasteful number, since it uses less digits than its factorization.

31101133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15017.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 31101133101 its reverse (10133110113), we get a palindrome (41234243214).

The spelling of 31101133101 in words is "thirty-one billion, one hundred one million, one hundred thirty-three thousand, one hundred one".