101013500 has 192 divisors, whose sum is σ = 279552000. Its totient is φ = 31752000.

The previous prime is 101013491. The next prime is 101013509. The reversal of 101013500 is 5310101.

It is an interprime number because it is at equal distance from previous prime (101013491) and next prime (101013509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3258485 + ... + 3258515.

It is an arithmetic number, because the mean of its divisors is an integer number (1456000).

Almost surely, 2^101013500 is an apocalyptic number.

101013500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101013500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776000).

101013500 is an abundant number, since it is smaller than the sum of its proper divisors (178538500).

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

101013500 is a wasteful number, since it uses less digits than its factorization.

101013500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 101013500 is about 10050.5472487820. The cubic root of 101013500 is about 465.7216989083.

Adding to 101013500 its reverse (5310101), we get a palindrome (106323601).

The spelling of 101013500 in words is "one hundred one million, thirteen thousand, five hundred".