101111133321 has 48 divisors (see below), whose sum is σ = 164985819648. Its totient is φ = 59623011360.

The previous prime is 101111133289. The next prime is 101111133337. The reversal of 101111133321 is 123331111101.

101111133321 is a `hidden beast` number, since 101 + 111 + 133 + 321 = 666.

It is not a de Polignac number, because 101111133321 - 2⁵ = 101111133289 is a prime.

It is a super-2 number, since 2×101111133321² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101111133294 and 101111133303.

It is not an unprimeable number, because it can be changed into a prime (101111133371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329160 + ... + 557286.

It is an arithmetic number, because the mean of its divisors is an integer number (3437204576).

Almost surely, 2^101111133321 is an apocalyptic number.

101111133321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111133321 is a deficient number, since it is larger than the sum of its proper divisors (63874686327).

101111133321 is a wasteful number, since it uses less digits than its factorization.

101111133321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228203 (or 228178 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101111133321 its reverse (123331111101), we get a palindrome (224442244422).

It can be divided in two parts, 101111 and 133321, that added together give a palindrome (234432).

The spelling of 101111133321 in words is "one hundred one billion, one hundred eleven million, one hundred thirty-three thousand, three hundred twenty-one".