3134131000 has 512 divisors, whose sum is σ = 10265149440. Its totient is φ = 864000000.

The previous prime is 3134130983. The next prime is 3134131003. The reversal of 3134131000 is 1314313.

3134131000 = T₈₉₈₄ + T₈₉₈₅ + ... + T₉₀₆₀.

It is a super-2 number, since 2×3134131000² = 19645554250322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134131003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31030950 + ... + 31031050.

It is an arithmetic number, because the mean of its divisors is an integer number (20049120).

Almost surely, 2^3134131000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132574720).

3134131000 is an abundant number, since it is smaller than the sum of its proper divisors (7131018440).

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

3134131000 is a wasteful number, since it uses less digits than its factorization.

3134131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3134131000 is about 55983.3100128958. The cubic root of 3134131000 is about 1463.4314421082.

Adding to 3134131000 its reverse (1314313), we get a palindrome (3135445313).

It can be divided in two parts, 313413 and 1000, that added together give a palindrome (314413).

The spelling of 3134131000 in words is "three billion, one hundred thirty-four million, one hundred thirty-one thousand".