132400430201000 has 128 divisors (see below), whose sum is σ = 334089860700960. Its totient is φ = 48821730048000.

The previous prime is 132400430200993. The next prime is 132400430201041. The reversal of 132400430201000 is 102034004231.

It can be written as a sum of positive squares in 16 ways, for example, as 9637088261956 + 122763341939044 = 3104366^2 + 11079862^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3114020 + ... + 16567980.

Almost surely, 2^{132400430201000} is an apocalyptic number.

132400430201000 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 132400430201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167044930350480).

132400430201000 is an abundant number, since it is smaller than the sum of its proper divisors (201689430499960).

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

132400430201000 is a wasteful number, since it uses less digits than its factorization.

132400430201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13454752 (or 13454738 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132400430201000 its reverse (102034004231), we get a palindrome (132502464205231).

The spelling of 132400430201000 in words is "one hundred thirty-two trillion, four hundred billion, four hundred thirty million, two hundred one thousand".