131020202041400 has 192 divisors, whose sum is σ = 354767148449280. Its totient is φ = 44066300428800.

The previous prime is 131020202041369. The next prime is 131020202041433. The reversal of 131020202041400 is 4140202020131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454776197 + ... + 455064203.

It is an arithmetic number, because the mean of its divisors is an integer number (1847745564840).

Almost surely, 2^{131020202041400} is an apocalyptic number.

131020202041400 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 131020202041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177383574224640).

131020202041400 is an abundant number, since it is smaller than the sum of its proper divisors (223746946407880).

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

131020202041400 is a wasteful number, since it uses less digits than its factorization.

131020202041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294214 (or 294205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 131020202041400 its reverse (4140202020131), we get a palindrome (135160404061531).

The spelling of 131020202041400 in words is "one hundred thirty-one trillion, twenty billion, two hundred two million, forty-one thousand, four hundred".