31143100412034 has 192 divisors, whose sum is σ = 74730736080000. Its totient is φ = 9314628535296.

The previous prime is 31143100412033. The next prime is 31143100412077. The reversal of 31143100412034 is 43021400134113.

31143100412034 is a `hidden beast` number, since 3 + 1 + 143 + 100 + 412 + 0 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31143100411989 and 31143100412007.

It is not an unprimeable number, because it can be changed into a prime (31143100412033) 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, 443289342 + ... + 443359590.

It is an arithmetic number, because the mean of its divisors is an integer number (389222583750).

Almost surely, 2^{31143100412034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31143100412034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37365368040000).

31143100412034 is an abundant number, since it is smaller than the sum of its proper divisors (43587635667966).

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

31143100412034 is a wasteful number, since it uses less digits than its factorization.

31143100412034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70689 (or 70686 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31143100412034 its reverse (43021400134113), we get a palindrome (74164500546147).

The spelling of 31143100412034 in words is "thirty-one trillion, one hundred forty-three billion, one hundred million, four hundred twelve thousand, thirty-four".