20130401100042 has 48 divisors (see below), whose sum is σ = 44177495955840. Its totient is φ = 6623766205056.

The previous prime is 20130401100031. The next prime is 20130401100049. The reversal of 20130401100042 is 24000110403102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20130401099988 and 20130401100024.

It is not an unprimeable number, because it can be changed into a prime (20130401100049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5077858 + ... + 8126834.

It is an arithmetic number, because the mean of its divisors is an integer number (920364499080).

Almost surely, 2^{20130401100042} is an apocalyptic number.

20130401100042 is an abundant number, since it is smaller than the sum of its proper divisors (24047094855798).

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

20130401100042 is a wasteful number, since it uses less digits than its factorization.

20130401100042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053707 (or 3053704 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20130401100042 its reverse (24000110403102), we get a palindrome (44130511503144).

The spelling of 20130401100042 in words is "twenty trillion, one hundred thirty billion, four hundred one million, one hundred thousand, forty-two".