101513312 has 24 divisors (see below), whose sum is σ = 200881296. Its totient is φ = 50495872.

The previous prime is 101513287. The next prime is 101513317. The reversal of 101513312 is 213315101.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101513317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1748 + ... + 14355.

It is an arithmetic number, because the mean of its divisors is an integer number (8370054).

Almost surely, 2^101513312 is an apocalyptic number.

It is an amenable number.

101513312 is a deficient number, since it is larger than the sum of its proper divisors (99367984).

101513312 is a wasteful number, since it uses less digits than its factorization.

101513312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16310 (or 16302 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 101513312 is about 10075.3814816115. The cubic root of 101513312 is about 466.4885615126.

Adding to 101513312 its reverse (213315101), we get a palindrome (314828413).

The spelling of 101513312 in words is "one hundred one million, five hundred thirteen thousand, three hundred twelve".