13402142100 has 216 divisors, whose sum is σ = 46821378240. Its totient is φ = 3186570240.

The previous prime is 13402142093. The next prime is 13402142101. The reversal of 13402142100 is 124120431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402142101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267649 + ... + 313751.

It is an arithmetic number, because the mean of its divisors is an integer number (216765640).

Almost surely, 2^13402142100 is an apocalyptic number.

13402142100 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 13402142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410689120).

13402142100 is an abundant number, since it is smaller than the sum of its proper divisors (33419236140).

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

13402142100 is a wasteful number, since it uses less digits than its factorization.

13402142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46159 (or 46149 counting only the distinct ones).

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

Adding to 13402142100 its reverse (124120431), we get a palindrome (13526262531).

It can be divided in two parts, 134021 and 42100, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 13402142100 in words is "thirteen billion, four hundred two million, one hundred forty-two thousand, one hundred".