101311353 has 48 divisors (see below), whose sum is σ = 173182464. Its totient is φ = 56263680.

The previous prime is 101311349. The next prime is 101311361. The reversal of 101311353 is 353113101.

101311353 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 353 = 666.

It is not a de Polignac number, because 101311353 - 2² = 101311349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101311333) 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, 286825 + ... + 287177.

It is an arithmetic number, because the mean of its divisors is an integer number (3607968).

Almost surely, 2^101311353 is an apocalyptic number.

101311353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101311353 is a deficient number, since it is larger than the sum of its proper divisors (71871111).

101311353 is a wasteful number, since it uses less digits than its factorization.

101311353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 101311353 is about 10065.3540921321. The cubic root of 101311353 is about 466.1789991241.

Adding to 101311353 its reverse (353113101), we get a palindrome (454424454).

The spelling of 101311353 in words is "one hundred one million, three hundred eleven thousand, three hundred fifty-three".