131211434310440 has 384 divisors, whose sum is σ = 353503575509760. Its totient is φ = 43317513216000.

The previous prime is 131211434310421. The next prime is 131211434310443. The reversal of 131211434310440 is 44013434112131.

It is a happy number.

It is a super-2 number, since 2×131211434310440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131211434310397 and 131211434310406.

It is not an unprimeable number, because it can be changed into a prime (131211434310443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2235525734 + ... + 2235584426.

It is an arithmetic number, because the mean of its divisors is an integer number (920582227890).

Almost surely, 2^{131211434310440} is an apocalyptic number.

131211434310440 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 131211434310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176751787754880).

131211434310440 is an abundant number, since it is smaller than the sum of its proper divisors (222292141199320).

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

131211434310440 is a wasteful number, since it uses less digits than its factorization.

131211434310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59105 (or 59070 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131211434310440 its reverse (44013434112131), we get a palindrome (175224868422571).

The spelling of 131211434310440 in words is "one hundred thirty-one trillion, two hundred eleven billion, four hundred thirty-four million, three hundred ten thousand, four hundred forty".