101413004 has 72 divisors (see below), whose sum is σ = 229249440. Its totient is φ = 38396160.

The previous prime is 101413001. The next prime is 101413021. The reversal of 101413004 is 400314101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 101413004.

It is not an unprimeable number, because it can be changed into a prime (101413001) 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 23 ways as a sum of consecutive naturals, for example, 124952 + ... + 125760.

It is an arithmetic number, because the mean of its divisors is an integer number (3184020).

Almost surely, 2^101413004 is an apocalyptic number.

101413004 is a gapful number since it is divisible by the number (14) 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 101413004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624720).

101413004 is an abundant number, since it is smaller than the sum of its proper divisors (127836436).

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

101413004 is a wasteful number, since it uses less digits than its factorization.

101413004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101413004 is about 10070.4023752778. The cubic root of 101413004 is about 466.3348609634.

Adding to 101413004 its reverse (400314101), we get a palindrome (501727105).

The spelling of 101413004 in words is "one hundred one million, four hundred thirteen thousand, four".